問題一覧
1
If sin A=2.511x , cos A=3.06x and sin 2A=3.939x find the value of x ?
B. 0.256
2
Solve for x if tan 3x=5 tanx
A. 20.705°
3
If tan x=1/2 , tan y=1/3 What is the value of tan(x+y) ?
A. 1
4
Find the value of x if log_12x=2.
A. 144
5
Find the value of log_8-48
A. 1.86
6
If log 2x and log 3=y find log 1.2 in terms of x and y
C. 2x+y-1
7
A PLDT tower and a monument stand on a level plane. The angles of depression of the top and bottom of the monument viewed from the top of the PLDT tower are 13 and 35° respectively. The height of the tower is 50 m. Find the height of the monument.
A. 33.51 m
8
The angle or inclination of ascend of a road having 8.25% grade is degrees?
A. 4.72
9
A man finds the angle of elevation of the top of a tower to be 30 degrees. He walks 85 m nearer the tower and finds its angle of elevation to be 60 degrees. What is the height of the tower?
D. 73.61 m
10
If the sides of a parallelogram and an included angle are 6, 10, and 100 degrees respectively, find the length of the shorter diagonal.
C. 10.73
11
What is the value of log_{2}5+log_{3}5
B. 3.79
12
Points A and B 1000 m apart are plotted on a straight highway running and west. From A, the bearing of a tower C is 32 degrees W of N and fr the bearing of C is 26 degrees N of E. Approximate the shortest distance tower C to the highway.
B. 374 m
13
Given a triangle with an angle C=28.7° side a=132 units and sa b=224 units. Solve for the side c.
C. 125.4 units
14
What is the value of log to the base 10 of 1000³•³ ?
A. 9.9
15
The logarithm of the quotient (M/N) and the logarithm of the product M equal to 1.55630251 and 0.352182518 respectively. Find the value of M
D. 9
16
The angle of elevation of the top of tower B from the top of the tower A is 28 and the angle of elevation of the top of tower A from the base of the tower B is 46°. The two towers lie in the same horizontal plane. If the height of the tower B is 120 m, find the height of tower A.
C. 79.3 m
17
An observer wishes to determine the height of a tower. He takes sight at the top of the tower from A and B, which are 50 ft apart at the same elevation on a direct line with the tower. The vertical angle at point. A is 30° and at point B is 40, What is the height of the tower?
D. 92.54 ft
18
Given the triangle ABC in which A=30°30°b=100 m and c=200m . Find the length of the side a.
A. 124.64 m
19
Evaluate the log_{6}845=x
A. 3.76
20
If log of 2 to the base 2 plus log of x to the base 2 is equal to 2, then the value of x is;
C. 2
21
Solve for x in the equation: an(x+1)+arctan(x-1)=arctan(12).
B. 1.34
22
If sec 2A=1/sin13A determine the angle A in degrees
B. 6 degrees
23
Determine the simplified form of cos2A-cosA/sin~A if f(A)=1
B. -sin A
24
Which is identically equal to (sec A+tan A) ?
A. 1/sec A-tan A
25
Solve for A for the given equation cos²A=1-cos²A
C. 45,135,225,315 degrees
26
38.5 to the x power 6.5 to the x-2 power, solve for x using logarithm
B. -2.10
27
If sin A=2/5 what is the value of 1-cos A?
A. 0.083
28
sin A cos B-cos A sin B is equivalent to:
B. sin(A-B)
29
How many degrees is 4800 mils?
A. 270 deg
30
In 7.18^xy equals
A. 1.97 xy
31
In the curve y=tan~3x what is its period?
Β. π/3
32
Determine the number of triangles possible with the given parts: A=126 degrees, a=20 b=25
C. No Solution
33
The central circle has 10 cm radius. Six equal smaller circles are to be small so that they are externally tangent each other and the centers lie in the so that thence of the really dance. What should be the radius in cm, of the smaller circle?
D. 5.000
34
An engineer left a point (point A) walking at 6.5 kph in a direction E 20° N is bearing of 70°). A cyclist leaves the same point at the same time in a diamter of E 40° S (that is bearing 130°) traveling at a constant speed. Find the speed of the cyclist if the engineer and the cyclist are 80 km apart after 5
A. 18.23 kph
35
Two cities 270 km apart lie on the same meridian. Find their difference in latitude if the earth's radius is 3,960 km.
B. 3/44 rad
36
Given one a right spherical triangle ABC in which C is 90° and sides a and b are 50° and 80° respectively. Find the length of the other side in degrees.
C. 74.33°
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42問 • 1年前問題一覧
1
If sin A=2.511x , cos A=3.06x and sin 2A=3.939x find the value of x ?
B. 0.256
2
Solve for x if tan 3x=5 tanx
A. 20.705°
3
If tan x=1/2 , tan y=1/3 What is the value of tan(x+y) ?
A. 1
4
Find the value of x if log_12x=2.
A. 144
5
Find the value of log_8-48
A. 1.86
6
If log 2x and log 3=y find log 1.2 in terms of x and y
C. 2x+y-1
7
A PLDT tower and a monument stand on a level plane. The angles of depression of the top and bottom of the monument viewed from the top of the PLDT tower are 13 and 35° respectively. The height of the tower is 50 m. Find the height of the monument.
A. 33.51 m
8
The angle or inclination of ascend of a road having 8.25% grade is degrees?
A. 4.72
9
A man finds the angle of elevation of the top of a tower to be 30 degrees. He walks 85 m nearer the tower and finds its angle of elevation to be 60 degrees. What is the height of the tower?
D. 73.61 m
10
If the sides of a parallelogram and an included angle are 6, 10, and 100 degrees respectively, find the length of the shorter diagonal.
C. 10.73
11
What is the value of log_{2}5+log_{3}5
B. 3.79
12
Points A and B 1000 m apart are plotted on a straight highway running and west. From A, the bearing of a tower C is 32 degrees W of N and fr the bearing of C is 26 degrees N of E. Approximate the shortest distance tower C to the highway.
B. 374 m
13
Given a triangle with an angle C=28.7° side a=132 units and sa b=224 units. Solve for the side c.
C. 125.4 units
14
What is the value of log to the base 10 of 1000³•³ ?
A. 9.9
15
The logarithm of the quotient (M/N) and the logarithm of the product M equal to 1.55630251 and 0.352182518 respectively. Find the value of M
D. 9
16
The angle of elevation of the top of tower B from the top of the tower A is 28 and the angle of elevation of the top of tower A from the base of the tower B is 46°. The two towers lie in the same horizontal plane. If the height of the tower B is 120 m, find the height of tower A.
C. 79.3 m
17
An observer wishes to determine the height of a tower. He takes sight at the top of the tower from A and B, which are 50 ft apart at the same elevation on a direct line with the tower. The vertical angle at point. A is 30° and at point B is 40, What is the height of the tower?
D. 92.54 ft
18
Given the triangle ABC in which A=30°30°b=100 m and c=200m . Find the length of the side a.
A. 124.64 m
19
Evaluate the log_{6}845=x
A. 3.76
20
If log of 2 to the base 2 plus log of x to the base 2 is equal to 2, then the value of x is;
C. 2
21
Solve for x in the equation: an(x+1)+arctan(x-1)=arctan(12).
B. 1.34
22
If sec 2A=1/sin13A determine the angle A in degrees
B. 6 degrees
23
Determine the simplified form of cos2A-cosA/sin~A if f(A)=1
B. -sin A
24
Which is identically equal to (sec A+tan A) ?
A. 1/sec A-tan A
25
Solve for A for the given equation cos²A=1-cos²A
C. 45,135,225,315 degrees
26
38.5 to the x power 6.5 to the x-2 power, solve for x using logarithm
B. -2.10
27
If sin A=2/5 what is the value of 1-cos A?
A. 0.083
28
sin A cos B-cos A sin B is equivalent to:
B. sin(A-B)
29
How many degrees is 4800 mils?
A. 270 deg
30
In 7.18^xy equals
A. 1.97 xy
31
In the curve y=tan~3x what is its period?
Β. π/3
32
Determine the number of triangles possible with the given parts: A=126 degrees, a=20 b=25
C. No Solution
33
The central circle has 10 cm radius. Six equal smaller circles are to be small so that they are externally tangent each other and the centers lie in the so that thence of the really dance. What should be the radius in cm, of the smaller circle?
D. 5.000
34
An engineer left a point (point A) walking at 6.5 kph in a direction E 20° N is bearing of 70°). A cyclist leaves the same point at the same time in a diamter of E 40° S (that is bearing 130°) traveling at a constant speed. Find the speed of the cyclist if the engineer and the cyclist are 80 km apart after 5
A. 18.23 kph
35
Two cities 270 km apart lie on the same meridian. Find their difference in latitude if the earth's radius is 3,960 km.
B. 3/44 rad
36
Given one a right spherical triangle ABC in which C is 90° and sides a and b are 50° and 80° respectively. Find the length of the other side in degrees.
C. 74.33°