Question

A right triangle shows the hypotenuse labeled c, a leg labeled a, and a leg labeled b. The sides a and c form an angle phi, the sides a and b form a right angle, and the sides c and b form an angle theta.
If c=17 in.
and b=15 in.
, find the value of sinθ
. Write your answer as a fraction. You do not need to simplify.

Answer 1

To find sinθ, we can use the formula:

sinθ = opposite/hypotenuse

In this case, the opposite side to angle θ is side b, which has a length of 15 in, and the hypotenuse is side c, which has a length of 17 in.

Therefore, sinθ = 15/17

So, the value of sinθ is 15/17.