Mathematics Practice Test – Angles of Elevation and Depression

From the top of a cliff 20m high, a boat can be sighted a sea 75m from the foot of the cliff. Calculate the angle of depression of the boat from the top of the cliff.

A. 14.9^o
B. 15.5^o
C. 74.5^o
D. 75.1^o

A student 1.5 m tail, when standing up, observe that the angle of elevation of the top of a tree 20 m away is 25^o. Find the height of the tree.

A. 9.3 m
B. 7.8 m
C. 10.8 m
D. 9.8 m

From the top of a vertical mast 150 m high, two huts on the same ground level are observed. One due west and the other due east of the mast. Their angles of depression are 60^o and 45^o respectively. Find the distance between the huts.

A. 150 m
B. 50(  + 3) m
C. 150 (  + 3) m
D. (  + 3) 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 boy 1.6m tall, views a bird on top of a tree at an angle of 45°. If the distance between the boy and the tree is 10.4 m, find the height of the tree.

A. 12.0 m
B. 10.0 m
C. 10.6 m
D. 10.4 m