If a ladder is to be placed 3 feet from the side of a house. If top of the ladder rests exactly on the edge of the house when it
is placed at an angle of 72 degrees from the ground, how long is the ladder to the nearest foot?
1 answer:
Answer:
7 feet long
Step-by-step explanation:
This set up will give a right angle triangle where;
Length of the ladder is the hypotenuse = x
The distance of the ladder to the house is the adjacent = 3 feet
Angle of elevation theta = 72 degrees
Using the CAH in trigonometry identity;
cos theta = adjacent/hypotenuse
cos 72 = 3/hyp
hyp = 3/cos72
hyp = 3/0.4258
hyp = 7.05 feet
Hence the ladder is approximately 7 feet long
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