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Dominik [7]
3 years ago
15

Find the height of the building.

Mathematics
1 answer:
Mars2501 [29]3 years ago
4 0

The height of building is 117 feet approximately

<em><u>Solution:</u></em>

We have to find the height of building

Let "x" be the height of building

Given angle of elevation is 25 degrees

We can use the tan formula to calculate the height "x"

tan \theta = \frac{opposite}{adjacent}

Here opposite = x and adjacent = 250 feet

\theta = 25^{\circ}

Substituting in formula we get,

tan 25 = \frac{x}{250}\\\\0.4663 = \frac{x}{250}\\\\x = 0.4663 \times 250\\\\x = 116.57

Thus height of building is 117 feet approximately

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Given statement:

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<em>To identify the property used in the above statement:</em>

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Reflexive property:

The geometric figure is congruent to itself.

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Symmetric property of congruence:

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Transitive property of congruence:

If figure A is congruent to figure B and figure B is congruent to figure C, then figure A is congruent to figure C.

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If ∠1 ≅ ∠2 then ∠2 ≅ ∠1 is symmetric property of congruence.

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