Question

To estimate the height of a building, a student finds the angle of elevation from a point (at ground level) down the street from the building to the top of the building is 30° . From a point that is 100 feet closer to the building, the angle of elevation (at ground level) to the top of the building is 49° . If we assume that the street is level, use this information to estimate the height of the building. Round your answer to the nearest whole number. The height of the building is feet.

          To estimate the height of a building, a student finds the angle of elevation from a point (at ground level) down the street from the building to the top of the building is 30° . From a point that is 100 feet closer to the building, the angle of elevation (at ground level) to the top of the building is 49° . If we assume that the street is level, use this information to estimate the height of the building.

Round your answer to the nearest whole number.

The height of the building is feet.

Show more…

To estimate the height of a building, a student finds the angle of elevation from a point (at ground level) down the street from the building to the top of the building is 30° . From a point that is 100 feet closer to the building, the angle of elevation (at ground level) to the top of the building is 49° . If we assume that the street is level, use this information to estimate the height of the building.

Round your answer to the nearest whole number.

The height of the building is feet.

Added by Douglas F.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Daniel Carr

05/28/2022

Step 1

Given that the angle opposite to the side of length 100 ft is 19° and the angle opposite to the side of length X (hypotenuse) is 30°, we can use the Law of Sines to find X. \[ \frac{X}{\sin 30°} = \frac{100}{\sin 19°} \] \[ X = \frac{100 \times \sin 30°}{\sin 19°} Show more…

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To estimate the height of a building, a student finds the angle of elevation from a point (at ground level) down the street from the building to the top of the building is 30° . From a point that is 100 feet closer to the building, the angle of elevation (at ground level) to the top of the building is 49° . If we assume that the street is level, use this information to estimate the height of the building. Round your answer to the nearest whole number. The height of the building is feet.

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