Question 753718: Martin is painting his house and needs to reach a point 9 feet above the ground. He places a 10.5-foot-long ladder against the house so that it forms an angle of with the ground.
a. Describe the triangle that is formed by the ground, the house, and the ladder. Identify the hypotenuse, the adjacent side, and the opposite side.
b. To the nearest tenth of a degree, find the angle the ladder forms with the ground. Show your work.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Martin is painting his house and needs to reach a point 9 feet above the ground. He places a 10.5-foot-long ladder against the house so that it forms an angle of with the ground.
a. Describe the triangle that is formed by the ground, the house, and the ladder. Identify the hypotenuse, the adjacent side, and the opposite side.
You have a right triangle with height = 9 ft, hypotenuse = 10.5 ft ---------------------------
b. To the nearest tenth of a degree, find the angle the ladder forms with the ground.
Let the angle made with the ground be "x".
Sin(x) = height/hypotenuse = 9/10.5
x = sin^-1(9/10.5) = 59 degrees
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Cheers,
Stan H.
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