Question

A slope is built against a wall which makes an angle 30° with the ground and the height of the wall is 2 meters. Find the length of the slope in meters.

(a) 2

(b) 4

(c) 1

(d) 3

I had been asked this question in exam.

This is a very interesting question from Trigonometry Application topic in section Trigonometry Application of Mathematics – Class 10

Answer 1

Correct choice is (b) 4

Easiest explanation: AC is the length of the slope in ∆ABC.

sin 30° = \(\frac {AB}{AC}\)

\( \frac {1}{2} = \frac {2}{AC}\)

AC = 4 meters