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Complete the following question on your own paper. Show all work, including a picture you draw.

A point on the ground is 50 feet from my house. The angle of elevation to the top of the house is 48°. Find the height of the house to the nearest tenth.

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Answer :

GinnyAnswer

Final answer:

Using trigonometry and the tangent function, the height of the house is calculated to be approximately 56.4 feet.


Explanation:

Calculation of House Height using Trigonometry

To find the height of the house:

  1. Using trigonometry, we can set up a right triangle with the house height as the opposite side, 50 feet as the adjacent side, and 48 degrees as the angle of elevation.
  2. By using the tangent function (tan), we can calculate the height of the house: tan(48 degrees) = height / 50 feet.
  3. Solving for height, we get height = 50 feet * tan(48 degrees), which equals approximately 56.4 feet tall.

Learn more about Trigonometry here:

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