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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 7 feet. How tall is the ladder

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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 7 feet. How tall is the ladder

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BridgetMaster · Tutor for 5 years

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<div class = 'in102'><p><strong>Answer:</strong></p><p><strong> l = 14 feet</strong></p><p><strong></strong></p><p><strong>A 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.</strong></p><p><strong>We can use the knowledge of trigonometry to calculate,</strong></p><p><strong>Because beta = adjacent legs / bevels</strong></p><p><strong>cos600 = 1 / 2</strong></p><p><strong>then we have it</strong></p><p><strong>1/ 2   =  7 / L      ⇒   (1/2) * L = 7   ⇒  L = ( 2*7) </strong></p><p><strong>l = 14 feet</strong></p><p></p>
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