Question

PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!!

Answer 1

Answer:

Therefore,

$m\angle R = 69.4\°$

Step-by-step explanation:

Given:

In Right Angle Triangle PQR at ∠Q = 90° such that

RQ = 3     ....Adjacent side of angle R

PQ = 8     ....Opposite side of angle R

To Find:

m∠R = ?

Solution:

In Right Angle Triangle PQR, Tan Identity,

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

Substituting the values we get

$\tan R= \dfrac{PQ}{QR}=\dfrac{8}{3}=2.6666\\\\\angle R=\tan^{-1}(2.666)=69.439=69.4\°$

Therefore,

$m\angle R = 69.4\°$