According to the measurements in the figure given at the right,

which of the following expressions gives the distance, in miles,

from the boat to the dock?

A.) 30 tan 52°

B.) 30 cos 52°

C.) 30 sin 52°

D.)

cos 52°

E.)

sin 52°

which of the following expressions gives the distance, in miles,

from the boat to the dock?

A.) 30 tan 52°

B.) 30 cos 52°

C.) 30 sin 52°

D.)

__30__cos 52°

E.)

__30__sin 52°

Trigonometric Ratiosopposite side ----------------- = sin hypotenuse adjacent side ----------------- = cos hypotenuse opposite side ----------------- = tan adjacent side - Algebra House | In the triangle, the distance from the boat to the dock is opposite the 52° angle and 30 miles is adjacent to the 52° angle. tan of 52° will be used in this situation d = distance from boat to dockd ------- = tan 52° {opposite over adjacent equals tan 52°} 30 d = 30(tan 52°) {multiplied each side by 30} A.) 30(tan 52°) |