a 40 foot ladder is leaning against a building and forms a 29.32° angle with the ground. How far away from the building is the base of the latter? Round your answer to the nearest hundred

9514 1404 393

  34.88 feet

Step-by-step explanation:

The relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

We want to find the length of the side adjacent to the measured angle. The hypotenuse is the ladder length.

  cos(29.32°) = distance/(40 ft)

  distance = (40 ft)cos(29.32°) ≈ 34.876°

The base of the ladder is about 34.88 feet from the building.

Additional comment

It extends about 19.59 feet up the side of the building.

1/4 because there is 4 grades.

d is the correct answer

step-by-step explanation:

x= 8 because 3x = 3 * 8, and 3*8 = 24