問題一覧
1
The area of an isosceles triangle is 36 m² with the smallest angle equal to one third of the other angle. Compute the length of the shorter side.
5.73
2
If sin θ = 12/13 , then the value of tan θ is equal to
12/5
3
The sides of a triangle are three consecutive natural numbers and the largest angle is twice the smaller one. The smallest side of the triangle is _____.
4
4
The angle or inclination of ascend of a having 8.25% grade is degrees?
4.72
5
From a point outside of an equilateral triangle, the 19 ft. The distances to the vertices are 10 m, 18m and 10 m respectively. What is the length of one side of a triangle?
11.23 or 19.95
6
Determine the number of triangles possible with the given parts: A = 126 degrees: a = 20 ; b = 25
No Solution
7
What is the value of x if cos h x +sin h x = 7.389 ?
2
8
The sides of a triangular garden lot is 13 ft. 18 ft and 19 ft. This lot is to be divided by a line bisecting the longest side and drawn from the opposite vertex. Find the length of the line.
12.5 ft
9
Sin A cos B - cos A sin B is equivalent to:
sin (A - B)
10
If cos^4 θ - sin^4 θ is equal to _______.
2cos² θ - 1
11
Which of the following is not a property of a triangle?
The sum of two sides is less than the third side.
12
A transit set up 40 m from the base of a vertical chimney reads 32°30' with the cross hairs set on the 19. top of the chimney. With the telescope level the vertical rod at the base of the chimney is 2.1 m
28m
13
A and B are summits of two mountains rise from a horizontal plain B being 1200m above the pain. Find the height of Ait being given that its angle of elevation as seen from a point C in the plain (in the same vertical plane with A and B) is 50 degwhile the angle of depression of C viewed from B is * 28 deg * 58' and the angle subtended at B by AC is 50 deg.
3002.33 m
14
Which of the following is not a secondary part of a triangle?
sides
15
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 a triangle? degrees. What is the height of the tower?
73.61 m
16
Given a triangle with an angle C = 28.7 deg , side a = 132 units and side b = 224 units. Solve for the side c.
125.4 units
17
Which is true regarding the signs of the natural functions for angles between 90° and 180°.
the cosine is negative
18
Two angles which have the same vertex and the sides of one are form by extending the sides one are form by extending the sides of the other
vertical angles
19
It refers to a single line which forms a tangent to two or more separate curves.
common tangent
20
If tan x = 1/2 , tan y = 1/3 , What is the value of tan (x + y )?
1
21
What value of F satisfy the equation tan(8F + 1) = cot(17) where all angles are in degrees?
9
22
In an isosceles right triangle, the hypotenuse is ______times as long as each of the legs.
√2
23
Which of the following is the value of 1 radian in degrees?
57.3 deg
24
The sides of a triangle are 8 cm. 10cm and 14 cm. Determine the radius of the inscribed and circumscribing circle.
2.45, 7.14
25
If sec 2A = 1/(sin 13A), determine the angle A in degrees
6 degrees
26
Any lines segment joining a vertex of a triangle to a 20. The sides of a triangle point on the opposites side
cevian
27
Points A and B are 100 m apart and are of the same elevation as the foot of the tower. The angles of elevation of the top of the tower from the points A and B are 21 degrees and 32 degrees respectively How far is A from the tower in meters?
259.28
28
What is the sum of the squares of the sine and cosine of an angle?
1
29
How many degrees is 4800 mils?
270°
30
Determine the simplified form of f(A) = cos 2A - cos A / sin A, if f(A) = 1.
cos A
31
Each interior angle of an equilateral triangle is equal
60°
32
Solve for x in the equation: arctan (x + 1 ) + arctan(x−1) = arctan (12)
1.34
33
Simplify {cos A/ [sinA+1]} + tan A
sec A
34
Determine the sum of the angles of the vertices of a regular 5-pointed star inscribed in a circle.
180°