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2 years ago

How tall is a building that casts a 78-ft shadow when the angle of elevation of the sun is 30 degrees?

Mathematics

1 answer:

Marta_Voda [28]2 years ago

8 0

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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2 years ago

How tall is a building that casts a ​78-ft shadow when the angle of elevation of the sun is 30 degrees​?

How tall is a building that casts a 78-ft shadow when the angle of elevation of the sun is 30 degrees?