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Rasek [7]
3 years ago
13

Use the diagram shown to find the height of the house. Round to the

Mathematics
1 answer:
o-na [289]3 years ago
5 0
Eybrbdbfbrjhebrbfjhfhrhrbrvhfhfjf
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How tall is a building that casts a ​78-ft shadow when the angle of elevation of the sun is 30 degrees​?
Marta_Voda [28]

Answer: 45.03\ ft

Step-by-step explanation:

Given

The length of the shadow is 78 ft

the angle of elevation is \theta =30^{\circ}

Suppose the height of the building is h

From the figure, we can write

\tan 30^{\circ}=\dfrac{h}{78}\\\\h=78\tan 30^{\circ}\\\\h=45.03\ ft

The height of the building is 45.03 ft

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3 years ago
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