Question

An acute angle, θ, is in a right triangle such that cosθ = 30/34. What is the value of tanθ?

A.) 3/4
B.) 8/17
C.) 4/3
D.) 8/15

Answer 1

sketch the triangle.



by definition cos(theta) = adjacent/hypotenuse so the adjacent side is 30 and the hypotenuse is 34. use the pythagorean theorem to calculate the opposite side of the triangle, then calculate tan(theta) = opposite/adjacent

Answer 2

Okay I got tanθ = 8/15

Answer 3

good, that's the solution