In triangle PQR, angle P and R are complementary angles where cos P =(0.3) what is the measure in degrees of angle R round to the nearest tenth

Question

asked Dec 6, 2022 228k views

1 Answer

Haji · Answer 1 · 2022-12-11T16:39:17+0000

Answer:

R = 17.5

Explanation:

Given

P and R are complementary

$Cos\ P =0.3$

Required

Find the measure of R

$Cos\ P =0.3$

Take arccos of both sides

P = cos^(-1)(0.3)

P = 72.5

Since P and R are complementary, then:

P + R = 90

Make R the subject

R = 90 - P

Substitute values for P

R = 90 - 72.5

R = 17.5