Question

A)
A lighthouse operator is sending signals to a ship with a
angle of depression. The height of thelighthouse is 40 feet relative to sea level. Which of the following correctly applies the sine ratio to findhow far away the ship is from the top of the lighthouse? Round to the nearest tenth.
(1 point)
17°
136.8 feet
157.5 feet
96.8 feet
130.8 feet
A)
Huang is standing 14 meters from the base of a kite. The kite string makes a 67° angle with theground. Find
x
, the length of the kite string. Round to the nearest hundredth.
(1 point)
x = 35.83 m
x = 15.21 m
x = 69.05 m
x = 5.47 m

Answer 1

1) sin(17°) = opposite/hypotenuse = 40 / x → x = 40 / sin(17°) ≈ 136.8 ft.

2) cos(67°) = adjacent/hypotenuse = 14 / x → x = 14 / cos(67°) ≈ 35.83 m.