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The angles of elevation of the top of a tower from the top and bottom of a 10 metres tall building are 30* and 450 respectively. Approximately what is the height of the tower in metres from the top of the building (given that .Z= 1. 73)?
10.65
1341
13.65
1541
- You have a 10 meters tall building.
- The angle of elevation from the bottom of the building is 45°.
- This suggests the height from the bottom to the tower's top is the same as the horizontal distance to the tower, due to the tan(45°) = 1.
- From the top of the building, the angle is 30°.
- This indicates the distance from the building top to the tower's top relates by tan(30°) = height/distance, with tan(30°)=1/v3.
- Use the 45° angle to find the common distance, then apply tan(30°) to find the remaining height.
- Upon calculation, the height from the building top is 13.65 meters.
Correct Answer: 13.65
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