Find the values for the missing variables Round your answers

Find the values for the missing variables. Round your answers to the nearest tenth or in simple radical form.

Solution

Solution:

1. Triangle is right therefore

for angle 59

cos(59) = Base/hypotenous = y/17

Cos(59) = y/17

y = 8.76

similerly

sin(59) = perpendicular / hypotenous

sin59 =x/17

x = 14.57

(2) since again triagle is right triangle

therefore

let base = 16

therefore

tan(34) = Perpedicular / base

tan34 = x/16

x = 10.79

(3.)

Since triagnle is right triangle DEC

CD² = CE² + DE²

75² = 21² + DE²

DE = sqrt(75²-21²)

DE = 72

Answer