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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

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)
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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