問題一覧
1
The length of the shadow of a tall tree on a groundis. 15√3 .
tree is 45 m tall. angle of elevation of sun
60
2
string of kite 158 m, makes 30° with horizontal , ht of kite
79m
3
kite flying 138m above ground , attached to string 45° , what is appropirate length of string?
194,
4
kite flying at 120 m ht, angle 60° with horizontal , length of string?
80√3
5
20 m long ladder rests against wall, angle btw ladder and wall 30°, how far is ladder from the wall.
10
6
dist of ladder from pole is 510m, elevation is 30° , find 50% of the ht of tower
85√3
7
ladder of 3.5 m reaches top of wall, if ladder makes 60° with wall, ht of the wall?
1.75m
8
top of 2 pole 18m & 30.5m are connected by wire. wire makes 30° with horizontal , length of wire?
25
9
ladder makes angle theta , at 10.8 m dist, length of wire.
a
10
a person 1.8m tall is 30√3 m away from a tower. If angle of elevation from his eye to tower is 30°, what is height of the tower?
31.8
11
foot of a ladder 25 m long is 7 m from building. if top of ladder slips by 4 m ,how much does bottom of ladder slip away?
8
12
angle of elevation from top of 2 buildings M & N of 72 &128 respectively from the base of the building is complimentary. Ht of the building in m is?
96
13
l of a shadow vertical tower on ground increases by 8.4m when altitude of sun changes from 45° to 30°. Ht of the tower?
4.2(√3+1)
14
a & b on same sides 50m apart, angles of elevation are respectively 60° & 30°. what is 40% of the ht of the tree?
10√3
15
a & b of same ht are on opp sides of road , 40 m wide. ang. of elevation is 30° &45° respectively at a point in between.
what is the length of the point from foot of pillar A?
20(3-√3)
16
as observed from lighthouse , 42m above sea height level, angle of depression of ship changes from 30° to 45°. the dist travelled by the ship in that duration is?
42(√3-1)
17
angle of elevation from top of a tower 25√3 m from2 points from level ground in opp sides are 45° & 60° respectively.Dost in between two points?
68.3
18
from top of a high cliff 195m, angles of depression of top & bottom iof a tower is 30° and 60° respectively. find height of tower.
130
19
a vertical pole and vertical tower are same on level ground such that from top of a pole, angle of elevation of tower is 60° and angle of depression of bottom of tower is 30°. ht of tower is 76 m, ht of pole
19
20
2(√3+1) KM
21
60 m
22
A vertical stick 16m casts a shadow 8m on ground , at same time a tower casts a shadow 24m on ground. Height of tower?
a
23
A vertical stick 16 cm casts a shadow 30m on ground at same time another stick 9 cm casts shadow of x on ground. Find x?
a
24
The angle of elevation of top of a tower at two points distance of a and b from foot in same horizontal line and on same side of tower , are complimentary. Height of tower?
√ab
25
Dist between 2 pillars of length 16m and 9m is Xm If two angles of elevation of their respective top from the bottom of other are complimentary to each other. Find x
12m
26
Dist between 2 pillars of length 48m and 38m is Xm If two angles of elevation of their respective top from the bottom of other are complimentary to each other. Find x
a
27
35√3
28
Angle of elevation of top of a tower from a point on ground is 45° moving 60m towards it becomes 60°. Ht of tower?
a
29
Angle of elevation of top of a tower from a point on ground is 30° moving 90m towards it becomes 60°. Ht of tower?
a
30
Angles of elevation of a tower from two points A and B lying on horizontal through foot of tower are 30° and 45°. If A and B are on same side of tower AB= 48m. Ht of tower?
24m
31
Angles of elevation of a tower from two points A and B lying on horizontal through foot of tower are 45° and 60° If A and B are on same side of tower AB= 60m. Ht of tower?
a
32
Angles of elevation of a tower from two points A and B lying on horizontal through foot of tower are 30° and 60°. If A and B are on same side of tower AB= 28m. Ht of tower?
a
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50問 • 2年前問題一覧
1
The length of the shadow of a tall tree on a groundis. 15√3 .
tree is 45 m tall. angle of elevation of sun
60
2
string of kite 158 m, makes 30° with horizontal , ht of kite
79m
3
kite flying 138m above ground , attached to string 45° , what is appropirate length of string?
194,
4
kite flying at 120 m ht, angle 60° with horizontal , length of string?
80√3
5
20 m long ladder rests against wall, angle btw ladder and wall 30°, how far is ladder from the wall.
10
6
dist of ladder from pole is 510m, elevation is 30° , find 50% of the ht of tower
85√3
7
ladder of 3.5 m reaches top of wall, if ladder makes 60° with wall, ht of the wall?
1.75m
8
top of 2 pole 18m & 30.5m are connected by wire. wire makes 30° with horizontal , length of wire?
25
9
ladder makes angle theta , at 10.8 m dist, length of wire.
a
10
a person 1.8m tall is 30√3 m away from a tower. If angle of elevation from his eye to tower is 30°, what is height of the tower?
31.8
11
foot of a ladder 25 m long is 7 m from building. if top of ladder slips by 4 m ,how much does bottom of ladder slip away?
8
12
angle of elevation from top of 2 buildings M & N of 72 &128 respectively from the base of the building is complimentary. Ht of the building in m is?
96
13
l of a shadow vertical tower on ground increases by 8.4m when altitude of sun changes from 45° to 30°. Ht of the tower?
4.2(√3+1)
14
a & b on same sides 50m apart, angles of elevation are respectively 60° & 30°. what is 40% of the ht of the tree?
10√3
15
a & b of same ht are on opp sides of road , 40 m wide. ang. of elevation is 30° &45° respectively at a point in between.
what is the length of the point from foot of pillar A?
20(3-√3)
16
as observed from lighthouse , 42m above sea height level, angle of depression of ship changes from 30° to 45°. the dist travelled by the ship in that duration is?
42(√3-1)
17
angle of elevation from top of a tower 25√3 m from2 points from level ground in opp sides are 45° & 60° respectively.Dost in between two points?
68.3
18
from top of a high cliff 195m, angles of depression of top & bottom iof a tower is 30° and 60° respectively. find height of tower.
130
19
a vertical pole and vertical tower are same on level ground such that from top of a pole, angle of elevation of tower is 60° and angle of depression of bottom of tower is 30°. ht of tower is 76 m, ht of pole
19
20
2(√3+1) KM
21
60 m
22
A vertical stick 16m casts a shadow 8m on ground , at same time a tower casts a shadow 24m on ground. Height of tower?
a
23
A vertical stick 16 cm casts a shadow 30m on ground at same time another stick 9 cm casts shadow of x on ground. Find x?
a
24
The angle of elevation of top of a tower at two points distance of a and b from foot in same horizontal line and on same side of tower , are complimentary. Height of tower?
√ab
25
Dist between 2 pillars of length 16m and 9m is Xm If two angles of elevation of their respective top from the bottom of other are complimentary to each other. Find x
12m
26
Dist between 2 pillars of length 48m and 38m is Xm If two angles of elevation of their respective top from the bottom of other are complimentary to each other. Find x
a
27
35√3
28
Angle of elevation of top of a tower from a point on ground is 45° moving 60m towards it becomes 60°. Ht of tower?
a
29
Angle of elevation of top of a tower from a point on ground is 30° moving 90m towards it becomes 60°. Ht of tower?
a
30
Angles of elevation of a tower from two points A and B lying on horizontal through foot of tower are 30° and 45°. If A and B are on same side of tower AB= 48m. Ht of tower?
24m
31
Angles of elevation of a tower from two points A and B lying on horizontal through foot of tower are 45° and 60° If A and B are on same side of tower AB= 60m. Ht of tower?
a
32
Angles of elevation of a tower from two points A and B lying on horizontal through foot of tower are 30° and 60°. If A and B are on same side of tower AB= 28m. Ht of tower?
a