Honors Trig Worksheet #2
Name__________________________
I. Solve each problem. YOU MUST SHOW your SKETCH, EQUATION, and ANSWER with
correct units.
1. A pilot is flying at 10,000 feet and wants to take the plane up to 20,000 feet over the next 50 miles.
What should be his angle of elevation to the nearest tenth? (Hint: There are 5280 feet in a mile.)
2. From the top of a 150-foot high tower, an air traffic controller observes an airplane on the runway. To
the nearest foot, how far from the base of the tower is the airplane if the angle of depression from the
tower to the plane is 12⁰?
3. A golfer is standing at the tee, looking up to the green on a hill. If the tee is 36 yards lower than the
green and the angle of elevation from the tee to the hole is 12⁰, find the distance from the tee to the hole.
4. A doctor is using a treadmill to assess the strength of a patient’s heart. At the beginning of the exam,
the 48-inch long treadmill is set at an incline of 10⁰. How far off the horizontal is the raised end of the
treadmill at the beginning of the exam?
5. Elena is planning a triangular garden. She wants t build a fence around the perimeter o to keep out the
deer. The length of one side of the garden is 25 feet. If the angles at the end of this side are 78⁰ and 44⁰.
Find the length of the fence needed to enclose the garden.
6. Two radar stations that are 20 miles apart located a plane at the same time. The first station indicated
that that position of the plane made an angle of 43⁰ with the line between the stations. The second station
indicated that it made an angle of 48⁰ with the same line. How far is each station from the plane?
7. Carlos and Adam are playing soccer. Carlos is standing 40 feet from one post of the goal and 50 feet
from the other post. Adam is standing 30 feet from one post of the goal and 22 feet from the other post.
If the goal is 24 feet wide, which player has a greater angle to make a shot on goal?
8. Mary drew a mapy showing Regina’s house, Steve’s apartment, and Trina’s workplace. The three
locations formed ΔRST, where m R 34 , r 14 , and s 21 . What is the m S ?
II. Solve for each variable. Round answers to the nearest tenth.
9.
10.
70
x
20
12
z
8
y
12
14
x
z
y