Question

PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!

Find the tangent of ∠C.

Write your answer as an integer or as a decimal rounded to the nearest hundredth.

tan(C) =

Answer 1

tan (C) = 2.05

Explanation:

Given:

A right angled triangle CDE right angled at ∠D.

Side CD = 39

Side DE = 80

Side CE = 89

We know, from trigonometric ratios that, the tangent of any angle is equal to the ratio of the opposite side to the angle and the adjacent side of the angle.

Therefore, tangent of angle C is given as:

`\tan(\angle C)=(DE)/(CD)`

Plug in the given values and solve for angle C.This gives,

`\tan(\angle C)=(80)/(39)\\\\\tan(\angle C)=2.051\approx 2.05(Rounded\ to\ nearest\ hundredth)`

Therefore, the measure of tangent of angle C is 2.05.