Mathematics Practice Test – Angles of Elevation and Depression

In the fig. above, points B and C are on a horizontal plane and |BC| = 30 cm. A and D are points vertically above B and C respectively. |DC| = 40 m and |AB| = 26 cm. Calculate the angle of depression of A from D correct to the nearest degree

The feet S and T of two vertical poles SR and TP are in line with a part Q on the same level ground. SR and TP are 5m and 9m respectively. S lies between Q and T and is 25m from Q. The angle of elevation of P from R is 30^o. Calculate the distance PR.

A. 4 m
B. 8 m
C. 12 m
D. 16 m

A hunter walks 400 m up a hill, which slopes at an angle of 20^o to the horizontal. Calculate correct to nearest meter, the horizontal distance covered.

A. 375 m
B. 375.90 m
C. 375. 80 m
D. 376 m

The angle of elevation of x from y is 30^o. If xy 40m, how high is x above the level of y?

A 10 m
B. 20 m
C. 20.3 m
D. 40 m

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