A ladder of length makes an angle with the ground such that .

MATHEMATICS · Multi-part · AP · AP Precalculus · Trigonometric and Polar Functions · Trigonometric and Polar Functions

Problem

A ladder of length

6\,\text{m}

makes an angle

\theta

with the ground such that

\tan\theta = \sqrt3

. (i) Identify the value of

\theta

(in degrees). (ii) Using this angle, find the vertical height reached by the top of the ladder on the wall.