TheAngleForALadderIs75DegreesFromGround.YouHaveA28FootLadder.HowFarFromTheHouseShouldYouPlaceTheBaseOfTheLadder?

Question

This is a precalculus question involving right triangle trigonometry 

Answer 1

In this case ypu a wall, the ground, and a ladder. The ladder is 28ft and you need the distance from the wall to the bottom of the ladder in order for the ladder to make a 75°angle with the groud

Imagine the triangle

The length of the lader is the hypotenuse cos (@)=adj/hyp=n/28 where n is the distance fron the wall to the bottom or base of the ladder

Cos (75)=n/28 then n=cos (75)×28...

Answer 2

the house, the ground, and the ladder form a right triangle

the house and the ground are the legs and the ladder is the hypotenuse

cosine=adjacent/hypotenuse

cos(75º)=n/28 where n=distance from house to base of ladder

0.258819=n/28

28*0.258819=n

n=7.2469 feet

place the ladder 7.2469 feet from the house and the 28 foot ladder will make a 75º angle with the ground