Question

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Find the tangent of ∠R.

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

tan(R)=

Answer 1

0.75°

Explanation:

tan< R= 55÷73

=0.75

Answer 2

Answer: 1.15

==============================================================

Work Shown:

QR = 73

QP = 55

PR = x

Pythagorean Theorem

a^2 + b^2 = c^2

(QP)^2 + (PR)^2 = (QR)^2

(55)^2 + (x)^2 = (73)^2

3025 + x^2 = 5329

x^2 = 5329-3025

x^2 = 2304

x = sqrt(2304)

x = 48

PR = 48

----------

tan(angle) = opposite/adjacent

tan(R) = QP/PR

tan(R) = 55/48

tan(R) = 1.1458333 approximately

tan(R) = 1.15