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The upper part of a tree broken over by the wind make an angle of 60 deg with the ground. The distance between the root and the point where top of the treetouches the ground is 25 metres. What was the height (in metres) of the tree?
A
84.14
B
93.3
C
98.25
D
120.24
Correct Answer:
93.3
A tower is broken at a point P above the ground. The top of the tower makes an angle 60° with the ground at Q. From another point R on the opposite sideof Q angle of elevation of point P is 30°. If QR = 180 m, then what is the total height (in metres) of the tower?
A
90
B
45\u221a3
C
45(\u221a3+1)
D
45(\u221a3+2)
Two trees are standing along the opposite sides of a road. Distance between the two trees is 400 metres. There is a point on the road between the trees.The angle of depressions of the point from the top of the trees are 45 degand 60 deg. If the height of the tree which makes 45 degangle is 200 metres, then what will be theheight (in metres) of the other tree?
A
200
B
200\u221a3
C
100\u221a3
D
250
There is a tree between houses of A and B. If the tree leans on A’s House, the tree top rests on his window which is 12 m from ground. If the tree leans on B’s House, the tree top rests on his window which is 9 m from ground. If the height of the tree is 15 m, what is distance between A’s and B’s house?
A
21 m
B
25 m
C
16 m
D
12 m
The top of a broken tree touches the ground at a distance of 15 m from its base. If the tree is broken at a height of 8 m from the ground, then the actual height of the tree is
A
17 m
B
27 m
C
25 m
D
30 m
A straight tree is broken due to thunder storm. The broken part is bent in such a way that the peak touches the ground at an angle elevation of 45°. The peak of the tree touches the ground at a distance of 25 m. What will be the height of the tree?
A
25(1 + √2) m
B
20√3 m
C
25 / √3 m
D
22√2 m
A straight tree is broken due to thunder storm. The broken part is bent in such a way that the peak touches the ground at an angle elevation of 53°. The peak of the tree touches the ground at a distance of 15 m. What will be the height of the tree?
A
68.52 m
B
55.76 m
C
58.62 m
D
64.58 m
Study the following information and answer the questions. Point A is 8m to the west of Point B. Point C is 4m to the south of Point B. Point D is 4m to the east of Point C. Point F is 6m to the north of Point D. Point E is 8m to the west of Point F. Point G is 2m to the south of Point E. If point G is 4m to the north of Point H, then what is the distance between H and D?
A
11m
B
8m
C
6m
D
4m
The angle of elevation of the top of a tower from a point A on the ground is 30°. On moving a distance of 20 metres towards the foot of the tower to apoint B, the angle of elevation increases to 60°. The height of the tower in meters is
A
\u221a3
B
5\u221a3
C
10\u221a3
D
20\u221a3
The height of a tower is 300 meters. When its top is seen from top of another tower,then the angle of depression is 60°. The horizontal distance between thebases of the two towers is 120 metres. What is the height (in metres) of the small tower?
A
88.24
B
106.71
C
92.15
D
112.64
A tree is cut partially and made to fall on ground. The tree however does not fall completely and is still attached to its cut part. The tree top touches the ground at a point 10m from foot of the tree making an angle of 30°. What is the length of the tree?
A
$$10\sqrt 3 \,{\text{m}}$$
B
$$\frac{{10}}{{\sqrt 3 }}\,{\text{m}}$$
C
$$\frac{{\left( {\sqrt 2 - 1} \right)}}{{10}}\,{\text{m}}$$
D
$$\frac{{10}}{{\sqrt 2 }}\,{\text{m}}$$