Question

The pole forms a 50° angle with the ground. How many feet, to the nearest tenth of a foot, is the base of the pole from the house?6.0 feet7.7 feet8.5 feet9.2 feet

Answer 1

In this case appy the formular for :sine, tan and cosine of an angle

Given that the pole forms a 50 degrees angle with the ground, with the length of pole given as 12 feets and height the tip of the pole makes from the the ground also not given then the formula to apply will require a trial and error calculation.

Applying cosine of an angle where;

`\cos (\emptyset)=(A)/(H)`

Where the angle theta is 50 degrees and H is the hypothenuse length equal to length of ladder and A is the length of base of pole from the house

`\sin (50)=(A)/(12)`

Where

12*sin50 degrees = A

12*0.76604=A

9.1925 = A

9.19 feets (to the nearest tenth of a foot)

9.2 feet Answer choice D