Question

Quick!!! Solve for the missing lengths using trigonometric ratios. * 110m 42° Х

Answer 1

Answer:

see explanation

Step-by-step explanation:

using the tangent ratio in the right triangle to find x

tan42° = $\frac{opposite}{adjacent}$ = $\frac{10}{x}$ ( multiply both sides by x )

x × tan42° = 10 ( divide both sides by tan42° )

x = $\frac{10}{tan42}$ ≈ 11.1 ( to 1 dec. place )

-------------------------------------------------

using the sine ratio to find the hypotenuse h

sin42° = $\frac{opposite}{hypotenuse}$ = $\frac{10}{h}$ ( multiply both sides by h )

h × sin42° = 10 ( divide both sides by sin42° )

h = $\frac{10}{sin42}$ ≈ 14.9 ( to 1 dec. place )