A 20-meter line is used to tether a helium-filled balloon.Because of a breeze,the line makes an angle of approximately 85° with the ground.Use a trigonometric function to write an equation involving the unknown quantity. ?
A) $$\sin 85 ^ { \circ } = \frac { h } { 20 }$$ (where h is height. )
B) $\cos 85 ^ { \circ } = \frac { h } { 20 }$ (where h is height. )
C) $\cos 85 ^ { \circ } = \frac { 20 } { h }$ (where h is height. )
D) $\sin 85 ^ { \circ } = \frac { 20 } { h }$ (where h is height. )
E) $\tan 85 ^ { \circ } = \frac { h } { 20 }$ (where h is height. )

Question

Quizplus · Accepted Answer

The sine of an angle in a right triangle is the ratio of the length of the opposite side to the length of the hypotenuse. Here, the height $h$ is opposite the 85° angle, and the 20-meter line is the hypotenuse, so $\sin 85 ^ { \circ } = \frac { h } { 20 }$ is the correct equation.

A 20-Meter Line Is Used to Tether a Helium-Filled Balloon sin⁡85∘=h20\sin 85 ^ { \circ } = \frac { h } { 20 }sin85∘=20h​

A 20-Meter Line Is Used to Tether a Helium-Filled Balloon $\sin 85 ^ { \circ } = \frac { h } { 20 }$