SOLUTION: A ladder leans agains a building forming an angle of 58 degrees with the ground. The bae of the ladder is 3 feet from the building. Usethe cosine determine the lenght of the ladd

Question 626535: A ladder leans agains a building forming an angle of 58 degrees with the ground. The bae of the ladder is 3 feet from the building. Usethe cosine determine the lenght of the ladder.
a. 3.54 ft
b 4.8 ft
c 6.01 ft
d. 5.66 ft
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

 

Hi,

A ladder leans agains a building forming an angle of 58 degrees with the ground.  

The bae of the ladder is 3 feet from the building.  

Usethe cosine determine the length of the ladder.

Let h represent the length of the ladder.

 cos(58) = adj/hyp = 3/h

    h = 3ft/cos(58) = 5.66ft 

RELATED QUESTIONS

A 12 foot ladder leans against the side of a building, making an angle of 30 degrees with  (answered by Earlsdon)
A ladder 8 feet tall leans against a wall and makes an angle of 58 degrees with the... (answered by mananth)
A ladder leans against a vertical wall and makes an angle of 70 degrees with the ground.... (answered by TimothyLamb)
A 45-foot ladder leans against a building point 27 feet above the ground. How far is the... (answered by jorel1380)
A six-meter-long ladder leans against a building. If the ladder makes an angle of 60... (answered by rothauserc)
A 24ft ladder leans against a building and makes an angle of 60 degrees with the ground.... (answered by Cromlix)
A 20-foot ladder is leaning against a wall. The foot of the ladder makes an angle of 58... (answered by solver91311)
A 15 foot ladder leans against the side of a bulding creating an angle of 28 degrees with  (answered by stanbon)
A painter leans a ladder against the side of a house to paint the windows. The base of... (answered by ewatrrr)