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Tom wants to reach Second floor window on a house that is 20 feet above ground. If he must put the ladder at a 70° angle to the ground, how long must The ladder be?

Tom wants to reach Second floor window on a house that is 20 feet above ground. If he must put the ladder at a 70 angle to the ground, how long must The ladder class=

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When we visualize the problem, we can draw a triangle using the given angle and side. The value of the altitude of the triangle is 20 ft. and its opposite angle is 70°. The missing length of the ladder is the hypotenuse side of the triangle. We can use SOH CAH TOA theorem in solving this problem and solution is shown below:
Sin 70°=20/H
H=20/sin 70°
H=21.284 feet.
the answer is 21.284 feet for the length of the ladder.

Answer:

21.28 feet

Step-by-step explanation:

Using the attached image, the length of the ladder is x. This represents the hypotenuse side of the right angled triangle that was formed. The height of the window from the floor is the opposite side. Thus going by SOH CAH TOA,

sin 70° = 20/x

x = 20/sin 70°

= 21.28 feet

The ladder must be 21.28 feet long

View image omotayoadekoya1

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