Question

Find the length of the missing sides
32⁰
15
У
X

Answer 1

x = 15

y = 28.3

Explanation:

let's first find the third unknown angle,

as sum of angles of a triangle = 180°

32° + 90° + third angle = 180°

third angle = 180° - 122

= 58°

now to find the hypotenuse y,

sin∅ = 15/y

y = 15 / sin 32°

y = 15/.53 = 28.3

now, let's find the base x

cos∅ = x/y

cos58° * y = x

cos58° * 28.3 = x

x = 15

Answer 2

x = 9.4; y = 17.7

Explanation:

For the 32° angle, 15 is the adjacent leg, and x is the opposite leg.

tan Θ = opp/adj

tan 32° = x/15

x = 15 tan 32°

x = 9.4

(9.37)² + (15)² = y²

y = 17.7