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Anna has leaned a ladder against the side of her house. If the ladder forms a 72º angle with the ground and rests against the house at a spot that is 6 meters high, approximately how far is the bottom of the ladder from the wall?

  • 2 m

  • 5 m

  • 3 m

  • 4 m

Anna has leaned a ladder against the side of her house. If the ladder forms a 72º angle with the ground and rests against the house at a spot that is 6 meters h class=

Verified Answer :

then u need to use tanФ=perpendicular/base
tan72°=6/x
3.077=6/x
x=1.949
x=2 m approx

boffeemadrid

Answer:

(A) 2 meter

Step-by-step explanation:

It is given that the ladder forms a 72º angle with the ground and rests against the house at a spot that is 6 meters high.

Let the measure of bottom of the ladder from the wall be x, then using the trigonometry, we have

\(\frac{CB}{AB}=tan72^{\circ}\)

\(\frac{6}{x}=tan72^{\circ}\)

\(\frac{6}{x}=3.077\)

\(x=\frac{6}{3.077}\)

\(x=1.94\)

\(x\)≈\(2m\)

Thus, option A is correct.

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