A man is standing on the level ground at a distance of 38.5m from a 40m high tower. He observes the angle of elevation on the top of the tower as 45°. How tall is he
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Given data:
The height of the tower is m
The distance of the man from the tower is m
The angle of elevation is
To find:
The height of the man
Step-by-step explanation:
[First draw the attached diagram and then proceed with the written solution.]
Let, be the tower and
be the man. Then
is the angle of elevation.
Draw the line whose length is
m, since
.
Let, m. Then
m.
So m.
Since is a right-angled triangle,
Answer: The man is 1.5 m tall.
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