Question

Use the image to answer the 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.

(1 point)

Answer 1

a^2 + b^2 = c^2 → a = sqrt(17^2 - 15^2) = sqrt(289 - 225) = 8.
sinθ = opposite/hypotenuse = a/c = 8/17.