Mathematics Practice Test – Angles of Elevation and Depression

A boy 1.2 m tall observes that the angle of elevation of the top of a building 20 m away is 36^o. What is the height of the building?

A. 14.53 m
B. 1.2 m
C. 15.73 m
D. 15.37 m

In the diagram, AB is a vertical pole and BC is horizontal. If |AC| = 10 m and |BC| = 5 m. Calculate the angle of depression of C from A.

A hawk on top of a tree, 20 metres high views a chick on the ground at an angle of depression of 39^o. Find correct to 2 significance figures, the distance of the chick from the bottom of the tree.

A. 26 m
B. 25 m
C. 24 m
D. 24.7 m