Question

A 10 m ladder is placed against the side of an apartment and reaches a windowsill that is 6 m above the ground. What is the angle of elevation of the ladder?

Answer 1

The angle of elevation of the ladder is $36.869$°

According to question, a right triangle is formed , in which hypotenuse(length of ladder) is 10 meter and height is 6 meter.

We have to find angle of elevation, x

$sin(x)=\frac{height}{hypotenuse}\\\\sin(x)=\frac{6}{10}\\\\sin(x)=0.6\\\\x=arcsin(0.6)\\\\x=36.869$

Angle of elevation is 36.869 degree.

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