Mathematics
The horizontal distance between two towers is 120 m. The angle of elevation of the top and angle of depression of the bottom of the first tower as observed from the second tower is 30° and 24° respectively. Find the heights of the two towers. Give your answer correct to 3 significant figures.
Related Questions
An aeroplane at an altitude of 250 m observes the angle of depression of two boats on the opposite banks of a river to be 45° and 60° respectively. Find the width of the river. Write the answer to the nearest whole number.
From the top of a tower, 100 m high, a man observes the angles of depression of two ships A and B, on opposite sides of the tower as 45° and 38° respectively. If the foot of the tower and the ships are in the same horizontal line, find the distance between the two ships A and B.
From the top of a cliff, the angle of depression of the top and bottom of a tower are observed to be 45° and 60° respectively. If the height of the tower is 20 m, find:
(i) the height of the cliff,
(ii) the distance between the cliff and the tower.
Two lamp posts AB and CD, each of height 100 m, are on either side of the road. P is a point on the road between the two lamp posts. The angles of elevation of the top of the lamp post from the point P are 60° and 40°. Find the distances PB and PD.
