SOLUTION: 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.

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
==============
Cheers,
Stan H.
==============

RELATED QUESTIONS
A spotlight is mounted on the eaves of a house 12 feet above the ground. A flower bed... (answered by Cromlix)

Dylan is locked out of his house the only window is on the second floor which is 12 feet (answered by ikleyn)

1.)A painter leans a 10-foot ladder against the house she is to paint. The foot of the... (answered by rfer)

A spotlight is mounted on the eaves of a house 20 feet above the ground. A flower bed... (answered by KMST)

1. Solve right triangle, ABC, giving the following information: Angle A=60 degrees,... (answered by mananth,jsmallt9)

a 16 foot ladder is leaning against a house to celan a window that is 10 feet iff the... (answered by jojo14344)

Alexandra needs to reshingle her roof. She leans a ladder against the the wall of the... (answered by TimothyLamb)

Are these correct answers? 7. A 15 foot ladder is learning against a house so that it (answered by MathLover1)

A ladder leaning against a house makes an angle of 30 degrees with the ground. the foot... (answered by mananth,dabanfield)