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The angle of elevation to the top of a Building in New York is found to be 10 degrees from the ground at a distance of 1 mile from the base of the building. Using this information, find the height of the building. Round to the tenths. Hint: 1 mile = 5280 feet

Sagot :

Answer:

931.00

Step-by-step explanation:

First, we need to draw out a right triangle.

The building will be the opposite, the ground will be the adjacent, and the angle of elevation will be the hypotenuse.

Angle B is 10 degrees,  and the adjacent is 5280 feet.

We can find the opposite using trigonometric ratios

tan 0 = opposite/adjacent

Now we solve this equation.

Substitute 5280 for the adjacent

tan 0 = x/5280

0 is the degree, so it would be 10. Substitute this in

tan 10 =x/5280

solve for tan 10

0.1763 =x/5280

Solve for x

0.1763 Times  5280 = x

x= 931.0065

rounded to the nearest tenth, our answer is 931.00

so, the opposite side, or the height of the building, is 931.00

Hope this helps! Have a great rest of your day!

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