self Maths Puzzle

An observer 1.6 m tall is 203 away from a tower. The angle of elevation from his eye to the top of the tower is 30º. The heights of the tower is:

A. 21.6 m B. 23.2 m
C. 24.72 m D. None of these

Read Solution (Total 1)

Let AB be the wall and BC be the ladder.

Then, ACB = 60º and AC = 4.6 m.

AC = cos 60º = 1
BC 2
BC = 2 x AC
= (2 x 4.6) m
= 9.2 m.
8 years agoHelpfull: Yes(0) No(0)

self Other Question

The angle of elevation of a ladder leaning against a wall is 60º and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is:

A. 2.3 m B. 4.6 m
C. 7.8 m D. 9.2 m From a point P on a level ground, the angle of elevation of the top tower is 30º. If the tower is 100 m high, the distance of point P from the foot of the tower is:

A. 149 m B. 156 m
C. 173 m D. 200 m