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erma4kov [3.2K]
3 years ago
10

What is the value of X? Pls help!

Mathematics
1 answer:
Licemer1 [7]3 years ago
6 0

Answer:

42

Step-by-step explanation:

Since the scale factor is 2:7, you can divide the given number by 2 then multiply it by 7, so 12/2x7=42

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Ms. Mwanted to estimate the height of the Republic Plaza building in downtown Denver. She has an app on
Volgvan

Answer:

<em>The height of the bullding is 717 ft</em>

Step-by-step explanation:

<u>Right Triangles</u>

The trigonometric ratios (sine, cosine, tangent, etc.) are defined as relations between the triangle's side lengths.

The tangent ratio for an internal angle A is:

\displaystyle \tan A=\frac{\text{opposite leg}}{\text{adjacent leg}}

The image below shows the situation where Ms. M wanted to estimate the height of the Republic Plaza building in downtown Denver.

The angle A is given by his phone's app as A= 82° and the distance from her location and the building is 100 ft. The angle formed by the building and the ground is 90°, thus the tangent ratio must be satisfied. The distance h is the opposite leg to angle A and 100 ft is the adjacent leg, thus:

\displaystyle \tan 82^\circ=\frac{h}{100}

Solving for h:

h = 100\tan 82^\circ

Computing:

h = 711.5 ft

We must add the height of Ms, M's eyes. The height of the building is

711.5 ft + 5 ft = 716.5 ft

The height of the building is 717 ft

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3 years ago
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Step-by-step explanation:

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step 1

Step-by-step explanation:

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