From a point 30 m away from the base of a tree, the angle of elevation of the top of the tree is 60°. Find the height of the tree (take √3 = 1.73).
Given:
Distance from the base of the tree = 30 m
Angle of elevation = 60°
Formula Used:
Solution:
Let the height of the tree be H.
We know that
H =
H = 30 × 1.73
H = 51.9
The height of the tree is 51.9 m.
Final Answer
So the correct answer is (b)
English
100 Questions
100 Marks
90 Mins English English100 Questions100 Marks90 Mins English English100 Questions100 Marks90 Mins EnglishFrom a point 30 m away from the base of a tree, the angle of elevation of the top of the tree is 60°. Find the height of the tree (take √3 = 1.73).
From a point 40 m away from the foot of a tower, the angle of elevation of the top of the tower is 45°. Find the height of the tower.
A building casts a shadow of length 46 m, when the angle of elevation of the sun is Find the height of the building. (Use √3 = 1.7)
A helicopter is flying at a height of 575 m. A person on the ground sees it at an angle of elevation of 30°. What is the horizontal distance from the person to the point on the ground exactly below the helicopter?
(Take √3=1.73)
A person stands 36 metres away from the foot of a tower. The angle of elevation to the top of the tower is θ, and tanθ = 5/3. What is the height (in metres) of the tower?
A boy flying a kite holds the string of length 24.4 m such that it makes an angle of 30° with the ground. Find the height of the kite from the ground.
A ladder makes an angle of 60° with the ground and its bottom is 3.7 m away from the wall. Find its length.
Aditya is standing on a light house of 150 m height and watching two boats on either side with angles of depression of 30o and 60o, respectively. Find the distance between the two boats.
A flagstaff stands on the top of a building. At a distance of 30 m away from the foot of the building, the angle of elevation of the top of the flagstaff is 60° and the angle of elevation of the top of the building is 30°. Find the height (in metres) of the flagstaff.
The angles of elevation of the top of a tower from two points X and Y (on opposite sides of the tower) at distances b2 m and a2 m, respectively, from the base and in the same straight line with it are complementary. The height (in m) of the tower is ________.
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From a point 30 m away from the base of a tree, the angle of elevation of the top of the tree is 60°. Find the height of the tree (take √3 = 1.73).
From a point 40 m away from the foot of a tower, the angle of elevation of the top of the tower is 45°. Find the height of the tower.
A building casts a shadow of length 46 m, when the angle of elevation of the sun is Find the height of the building. (Use √3 = 1.7)
A helicopter is flying at a height of 575 m. A person on the ground sees it at an angle of elevation of 30°. What is the horizontal distance from the person to the point on the ground exactly below the helicopter?
(Take √3=1.73)
A person stands 36 metres away from the foot of a tower. The angle of elevation to the top of the tower is θ, and tanθ = 5/3. What is the height (in metres) of the tower?
A boy flying a kite holds the string of length 24.4 m such that it makes an angle of 30° with the ground. Find the height of the kite from the ground.
A ladder makes an angle of 60° with the ground and its bottom is 3.7 m away from the wall. Find its length.
Aditya is standing on a light house of 150 m height and watching two boats on either side with angles of depression of 30o and 60o, respectively. Find the distance between the two boats.
A flagstaff stands on the top of a building. At a distance of 30 m away from the foot of the building, the angle of elevation of the top of the flagstaff is 60° and the angle of elevation of the top of the building is 30°. Find the height (in metres) of the flagstaff.
The angles of elevation of the top of a tower from two points X and Y (on opposite sides of the tower) at distances b2 m and a2 m, respectively, from the base and in the same straight line with it are complementary. The height (in m) of the tower is ________.
