Question
A ladder leaning against a house makes an angle of 60 degrees with the ground. The foot of the ladder to the foundation of the house is 7 feet. How tall is the ladder
Answer
4.1
(167 Votes)
Bridget
Master · Tutor for 5 years
Answer
Answer: l = 14 feetA ladder, the walls of the house and the ground.They are all right triangles, where L ( the length of the ladder ) is the bevel, and the angle beta between the bottom of the ladder and the house is 600.We can use the knowledge of trigonometry to calculate,Because beta = adjacent legs / bevelscos600 = 1 / 2then we have it1/ 2 = 7 / L ⇒ (1/2) * L = 7 ⇒ L = ( 2*7) l = 14 feet