Question

What is the value of y in the triangle?

Enter your answer in the box. Round your final answer to the nearest hundredth.

Answer 1

• From trigonometric ratios:

`{ \rm{ \sin( \theta) = (opposite)/(hypotenuse) }} \\`

→ theta is 41°

→ opposite is y

→ hypotenuse is 26 ft

`{ \tt{ \sin(41) = (y)/(26) }} \\ \\ { \tt{y = 26 \sin(41) }} \\ \\ { \boxed{ \tt{ \: y = 17.06 \: \: ft}}}`