Answer:
see explanation
Step-by-step explanation:
using the tangent ratio in the right triangle to find x
tan42° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{10}{x}[/tex] ( multiply both sides by x )
x × tan42° = 10 ( divide both sides by tan42° )
x = [tex]\frac{10}{tan42}[/tex] ≈ 11.1 ( to 1 dec. place )
-------------------------------------------------
using the sine ratio to find the hypotenuse h
sin42° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{10}{h}[/tex] ( multiply both sides by h )
h × sin42° = 10 ( divide both sides by sin42° )
h = [tex]\frac{10}{sin42}[/tex] ≈ 14.9 ( to 1 dec. place )
