Q17 of 68 Page 9

The angle of elevation of the top of a tower at a distance of 50 m from its foot is 60°. Find the height of the tower.

A diagram of the given situation is drawn,



Using a diagram to explain why angle BCA is used as the angle of elevation.


We know that from trigonometric ratios that,






Therefore, the calculated height of tower is m.


More from this chapter

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15

A tower stands vertically on the ground. At a point on the ground, 15 m away from the foot of the tower, the angle of elevation of the top of the tower is 60°. What is the height of the tower?

 16

At a point 20 m away from the foot of a tower, the angle of elevation of the top of the tower is 30°. Find the height of the tower.

 18

A ladder is placed against a vertical wall such that it just reaches the top of the wall. The foot of the ladder is 1.5 m away from the wall and the ladder is inclined at an angle of 60° with the ground. Find the height of the wall.

 19

The shadow of Qutab Minar is 81 m long when the angle of elevation of the Sun is θ. Find the height of the Qutab Minar if tanθ= 0.89.