A person is standing exactly 36 ft from a telephone pole. There is a 30° angle of elevation from the ground to the top of the po
le. A person is standing 36 feet from the base of a telephone pole. A line is drawn from the top of the telephone pole to the person to form a right triangle. The angle at the person is 30 degrees. What is the height of the pole? 12 ft 12 StartRoot 3 EndRoot ft 18 ft 18 StartRoot 2 EndRoot ft
2 answers:
Answer:
20.78feet
Step-by-step explanation:
The question made us to understand that the man is standing and also there is angle of elevation, then we need to draw a right triangle having a base equal to 36 feet with an angle from the base to the top of the pole which is 30 degrees.
tan= opposite side / adjacent side
Let height of the pole =h
Tan(30)= h/36
But tan 30degree= 1/√3
h= 36 × 1/√3
h= 20.78feet
Therefore, the height of the pole= 20.78feet
CHECK THE ATTACHMENT FOR DETAILED FIGURE
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<em>Refer to attached. All answers included.</em>
- <u>Note. Will mainly refer to y-coordinates in distance questions</u>
- Distance from coffee shop to library: 16 -8 = 8
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- Distance from Sergio's home to Saskia's home: 19 -3 = 16
- Distance from Sergio's home to Post office: 16*1/4 = 4
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- Distance from Kay's home to twin theater: 20 - 4 = 16
- Distance from twin theater to market: 16*3/4 = 12
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