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2 years ago

14

An engineer is standing 250 meters away from a building. She measures the angle of elevation to the top of the building to be 30

degrees. How tall is the building, rounded to the nearest meter?

1 answer:

RSB [31]2 years ago

3 0

Answer:

144m

Step-by-step explanation:

we would used tan 30 to determine the height of the building

tan 30 = opposite / adjacent

0.5774 x 250 = 144m

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Any suggestions or answers

Sati [7]

Answer:

$x=81\degree$

$y=99\degree$

$z=129\degree$

Step-by-step explanation:

The sum of the interior angles of a triangle is 180 degrees.

$\implies 51\degree+48\degree+x=180\degree$

$\implies 99\degree+x=180\degree$

$\implies x=180\degree-99\degree$

$\implies x=81\degree$

Use the exterior angles theorem to find y.

The exterior angle y is the sum of the two remote interior angles:

$y=51\degree+48\degree=99\degree$

The sum of angles on a straight line is 180 degrees.

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$\implies z=180\degree-51\degree$

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