Find the tangent of S.

Question

asked Mar 7, 2021 42.5k views

1 Answer

Roy Marco Aruta · Answer 1 · 2021-03-12T02:39:14+0000

Answer:

Therefore,

$\tan S=2.14$

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

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

Substituting the values we get

$\tan S = (RQ)/(SR)=(77)/(36)=2.13888\\\\\tan S=2.14$ ...Rounded to the nearest hundredth

Therefore,

$\tan S=2.14$