2. Another wind turbine that Yoshio owns uses guy wires for support. In the figure, AC = 15 ft, mZABC = 60°, MZADC = 45°, and MLAEC = 30°. E D B Find each of the following measures. а. АВ — b. AD= C. AE= d. What is the height of the turbine, EC? 3. Use the converse of the Pythagorean Theorem to prove that triangle AEC is a right triangle.
2. Another wind turbine that Yoshio owns uses guy wires for support. In the figure, AC = 15 ft, mZABC = 60°, MZADC = 45°, and MLAEC = 30°. E D B Find each of the following measures. а. АВ — b. AD= C. AE= d. What is the height of the turbine, EC? 3. Use the converse of the Pythagorean Theorem to prove that triangle AEC is a right triangle.
Trigonometry (MindTap Course List)
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ISBN:9781337278461
Author:Ron Larson
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Chapter3: Additional Topics In Trigonometry
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Transcribed Image Text:2. Another wind turbine that Yoshio owns uses guy wires for support.
In the figure, AC=15 ft, mLABC= 60°, MZADC= 45°, and
MLAEC = 30°.
E
B
C
Find each of the following measures.
а. АВ —
b. AD=
с. АЕ —
d. What is the height of the turbine, EC?
3. Use the converse of the Pythagorean Theorem to prove that triangle
AEC is a right triangle.
Transcribed Image Text:Yoshio owns a farm that uses wind turbines to produce wind power. Wind
power,
also known as wind energy, uses the power of the wind to generate
electrical or mechanical power.
1. One of the wind turbines that Yoshio owns is shown in the figure below.
He needs to know the height of the turbine. Yoshio is 5 feet 6 inches tall.
If he stands 12 feet from the turbine, his line of sight forms a 90° angle
with the top and bottom of the turbine.
12 ft
W
5.5 ft
Y
a. What special segment is ZW? Explain.
b. Write a similarity statement to show the relationship among
triangle XYZ and the two triangles formed by drawing ZW.
c. What is the height of the turbine?
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