Math

TrigonometryThe angle of elevation from
the bottom of the ski lift to
the top of the mountain is 62°.
If the vertical height of the
mountain is 1,760 feet, what is
the total distance traveled on
the ski lift from the bottom to
the top of the mountain?
A) 1,952.8 ft
B) 1,993.3 ft
C) 2,020.5 ft
D) 2,084.1 ft
E) 2,102.7 ft

Math

TrigonometryA hot-air balloon is attached to the ground by a cable that is 200 meters long. The cable makes a 57° angle with the ground.
How many meters above the ground is the balloon if there is no slack in the cable? Round your answer to the nearest tenth of a meter.
Enter your answer in the box.

Math

TrigonometryNick is stuck at the top of a
Ferris wheel. His mother is
standing 38 feet from the base
of the wheel watching him. If
the angle of elevation from
Nick's mom to Nick is 73°, how
far off the ground is Nick?
A) 118.2 ft
B) 120.9 ft
C) 124.3 ft
D) 126.5 ft
E) 128.1 ft

Math

TrigonometryA weather balloon is launched from the ground at a spot 250 yards from a 65 foot royal
palm tree. What is the minimal angle of elevation at which the balloon must take off in
order to avoid hitting the tree? Assume that the balloon flies in a straight line and the
angle of elevation stays constant.

Math

TrigonometryFind the magnitude of the horizontal and vertical components of a force of 465 newtons at a bearing of 19° from the horizontal. Round to the nearest whole number.
horizontal component: 440 N, vertical component: 151 N
horizontal component: 440 N, vertical component: 25 N
horizontal component: 151 N, vertical component: 314 N
horizontal component: 151 N, vertical component: 440 N