Find the measure of the missing angle using the exterior angle sum theorm

Mathematics

1 answer:

Sergeeva-Olga [200]3 years ago

3 0

Answer:

r = 30°

Step-by-step explanation:

According to the Exterior Angle Sum Theorem, the exterior angle, which is 90°, is equal to the 2 interior angles, which are 60° and <em>r°</em>. We know that the angle next to the exterior angle is 90°, and since all angle sums add up to 180°, <em>r</em> = 30°.

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What is the hight of a Building 1 Angle 71o Distance 20 meters

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The height of a building is 58.08 meters if the angle is 71 degree and the distance between A and B is 20 meters.

<h3>What is trigonometry?</h3>

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have:

Angle = 71 degree

Distance between A and B = 20 meters

Let's suppose the height of the building is x meters.

From the right angle triangle applying the tan ratio:

tan71 = x/20

x = 58.08 meter

Thus, the height of a building is 58.08 meters if the angle is 71 degree and the distance between A and B is 20 meters.

Learn more about trigonometry here:

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