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3 years ago

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A building feet tall has a shadow that is feet long. Find the angle of elevation of the sun to the nearest hundredth of a degree

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1 answer:

lina2011 [118]3 years ago

8 0

Answer:

The angle of elevation of the sun to the nearest hundredth of a degree is 44.07°

Step-by-step explanation:

Here is the complete question:

A building 86.53 feet tall has a shadow that is 89.39 feet long. Find the angle of elevation of the sun to the nearest hundredth of a degree.

Step-by-step explanation:

Please see the attachment below for an illustrative diagram:

From the diagram

/AC/ is the height of the building

/CB/ is the length of the shadow

/AC/ = 86.53 feet

/CB/ 89.39 feet

θ is the angle of elevation

Consider triangle ABC

/AC/ is the opposite

and /CB/ is the adjacent

From

tanθ = $\frac{Opposite}{Adjacent}$

Then,

tanθ = $\frac{/AC/}{/CB/}$

tanθ = $\frac{86.53}{89.39}$

tanθ = 0.9680

∴θ = tan⁻¹(0.9680)

θ = 44.0686°

θ = 44.07° (to the nearest hundredth of a degree)

Hence, the angle of elevation of the sun to the nearest hundredth of a degree is 44.07°

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Step-by-step explanation:

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