Question

How do I solve this (trigonometry)

Answer 1

3/5

Explanation:

the sin of an acute angle in a right triangle is the ratio of the opposite side to the hypotenuse

24/40=3/5

Answer 2

sine of Z = 36.87 (36.86989765 to be exact)

Explanation:

Remember SOH-CAH-TOA

Sine=OH=opposite/hypotenuse.

You want to find the angle of Z so, theta Z= 24/40 (O/H)

On your calculator, put inverse sine(sin ^-1) of 24/40.

So, sin-1 (24/40)=36.87 degrees.