Solve each problem.See Examples 3 and 4.

Angle of Elevation of t...

Question

Solve each problem.See Examples 3 and 4.

Angle of Elevation of the Sun The length of the shadow of a building 34.09 m tall is 37.62 m. Find the angle of elevation of the sun to the nearest hundredth of a degree.

Accepted Answer

Hello, everyone. We are told the length of the shadow cast by landmark 81 A skyscraper in Vietnam is 389.12 m. We want to approximate the angle of elevation of the sun to the nearest 100th of a degree. If the height of the skyscraper is 461. m. Our answer choices are a 47.08 degrees B 51.34 degrees C 49.85 degrees D 54.93 degrees. So first I know I want to approximate the angle of elevation to the sun. So I'm gonna draw a picture and here's my son. So what else do I know? I know that the shadow of the skyscraper which would run along the ground is 389.12 m. I know that the skyscraper must be between the sun and the shadow. So that's gonna go up and that is 461.20 m. So though my picture is not perfect, we're gonna find the angle of elevation for the sun. So it's gonna make a triangle with the shadow and the height of the skyscraper, we have a right angle where the shadow meets the skyscraper and we're looking for the angle of elevation. So that would be the bottom angle that is partly uses the leg 389. m. So looking at the angle we're looking for and the information we're given, we have the side opposite it and the side adjacent it. So we're calling opposite, divided by adjacent. I know I need to use tangent. So I'm gonna use the tangent of theta equals the opposite side. So 461. divided by the adjacent side, 389.12. So since I need to find the value of theta, I need to use the arc tangent. So it's the tangent with a negative one as an exponent. And then 461. divided by 389.12. I'm gonna use a calculator, make sure if you're using a calculator that it is in degree mode. And I get 49. degrees, but we are asked to round to the nearest 100th. So that's two decimal places. So we're gonna round to the four. And since the number to the right of it is a five, we can say that the angle theta is 49.85 degrees. So that's gonna be our angle of elevation to the sun and answer choice. C, have a nice day.

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Solve each problem.See Examples 3 and 4. Angle of Elevation of the Sun The length of the shadow of a building 34.09 m tall is 37.62 m. Find the angle of elevation of the sun to the nearest hundredth of a degree.