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33 votes
You will complete the following question on your own paper. Make sure to show ALL work including a picture you draw. He 2 A point on the ground is 50 feet from my house. The angle of elevation to the top of the house is 48º. Find the height of the house to the nearest tenth. Finis the following template: "Last Name First Name Assignment

You will complete the following question on your own paper. Make sure to show ALL-example-1
User Konquestor
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1 Answer

11 votes
11 votes

ANSWER

The height of the house is 55.5 feet

Step-by-step explanation

Since this forms a right triangle, we can use the tangent of the elevation angle to the top of the house to find its height - because we know the lenght of the adjacent side and we want to know the lenght of the opposite side:


\begin{gathered} \tan 48º=(h)/(50) \\ h=50\tan 48º \\ h=55.53062574\approx55.5\text{ feet} \end{gathered}

You will complete the following question on your own paper. Make sure to show ALL-example-1
User Oneway
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