Find all angles 𝜃 between 0° and 180° satisfying the given equation. Round your answer to one decimal place.

Question

Find all angles 𝜃 between 0° and 180° satisfying the given equation. Round your answer to one decimal place. 

cos= 7/8

Answer 1

cosx = 7/8 = 0.875

use a calculator with an inverse trig function

x= cos^-1(.875)

x = 29.0 rounded off to one decimal

if x had been 30 degrees, cos30 is sqr3/2 = 1.732/2 = .866 which is a little less than .875, so the angle is slightly less than 30 degrees