Question

Find the tangent of S.

Answer 1

Answer:

Therefore,

$\tan S=2.14$

Step-by-step explanation:

Given:

ΔSRQ is a Right angle triangle at ∠R = 90°

SR = 36 ....Adjacent side of ∠S

RQ = 77 ...Opposite side of ∠S

To Find:

$\tan S=?$

Solution:

ΔSRQ is a Right angle triangle at ∠R = 90° ..Given

By Tangent Identity we have

$\tan S = \dfrac{\textrm{side opposite to angle S}}{\textrm{side adjacent to angle S}}$

Substituting the values we get

$\tan S = \dfrac{RQ}{SR}=\dfrac{77}{36}=2.13888\\\\\tan S=2.14$...Rounded to the nearest hundredth

Therefore,

$\tan S=2.14$