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Chapter 8: Q. 11 (page 555)

A 12-foot ladder leans against a building. The top of the ladder leans against the wall 10.5 feet from the ground. What is the angle formed by the ground and the ladder?

Short Answer

Expert verified

The angle is 61.045°approximately.

Step by step solution

01

Step 1. Given Information

The height of the top of the ladder is 10.5 feet and the length of the ladder is 12 feet.

02

Step 2. Use the rule of Sines

  • According to the rule of sines, sinAa=sinBb.
  • Here, the angle of the building with the ground will be 90°.
  • Substitute A=90°,a=12,b=10.5and solve for B.

sin90°12=sinB10.5sinB=10.512=0.875B≈61.045°

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