5. Richard is flying a kite. The kite string makes an angle of 57° with the ground. If Richard is stand 100 feet from a point on the ground directly below the kite, find the length of the kite string.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Related questions
Question
5-6
If you
functi
Exa
si
Angle of Elevation/Depression
I. Analyze the following word problems. Then, draw a picture using the information. Finally, set up an equation and solve.
Round angles to the nearest angle and sides to the nearest hundredths.
Name
I. A 20-foot ladder leans against a wall so that the base of the ladder is 8 feet from the base of the
building. What angle does the ladder make with the ground?
2. A 50-meter vertical tower is braced with a cable secured at the top of the tower and tied 30 meters
from the base. What angle does the cable form at the top of the tower?
3. At a point on the ground 50 feet from the foot of an oak tree, the angle of elevation to the top of the oak
tree is 53°. Find the height of the tree.
4. From the top of a lighthouse 210 feet high, the angle of depression of a boat is 27°. Find the distance
from the boat to the foot of the lighthouse. (Assume the lighthouse was built at sea level.)
5. Richard is flying a kite. The kite string makes an angle of 57° with the ground. If Richard is standin
100 feet from a point on the ground directly below the kite, find the length of the kite string.
6. An airplane rises vertically 1000 feet over a horizonta
elevation of the airplane's path?
of 1 mile. What is the angle of
94Nx114(240m Bro
Transcribed Image Text:If you functi Exa si Angle of Elevation/Depression I. Analyze the following word problems. Then, draw a picture using the information. Finally, set up an equation and solve. Round angles to the nearest angle and sides to the nearest hundredths. Name I. A 20-foot ladder leans against a wall so that the base of the ladder is 8 feet from the base of the building. What angle does the ladder make with the ground? 2. A 50-meter vertical tower is braced with a cable secured at the top of the tower and tied 30 meters from the base. What angle does the cable form at the top of the tower? 3. At a point on the ground 50 feet from the foot of an oak tree, the angle of elevation to the top of the oak tree is 53°. Find the height of the tree. 4. From the top of a lighthouse 210 feet high, the angle of depression of a boat is 27°. Find the distance from the boat to the foot of the lighthouse. (Assume the lighthouse was built at sea level.) 5. Richard is flying a kite. The kite string makes an angle of 57° with the ground. If Richard is standin 100 feet from a point on the ground directly below the kite, find the length of the kite string. 6. An airplane rises vertically 1000 feet over a horizonta elevation of the airplane's path? of 1 mile. What is the angle of 94Nx114(240m Bro
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