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A twenty-five foot ladder just reaches the top of a house and forms an angle of 41.5° with the wall of the house. how tall is the house? round your answer to the nearest 0.1 foot.

Respuesta :

jamesnelson0130
So to find this we must use cos(41.5 degrees) so the equation is cos(41.5)=x/25 we times both sides by 25. We also find out what cos 41.5 is in this step. so 0.75x25 = x. Therefore x=18.8. the house is 18.8 feet tall

fichoh

The height of the house calculated using the concept of Pythagoras is 18.7 feets

Given the Parameters :

  • Length of ladder = 25 feets
  • Angle,θ = 41.5°
  • Let height of house = h

Using SOHCAHTOA :

Cos θ = Adjacent / hypotenus

Adjacent = h ; hypotenus = 25 feets

Cos 41.5 = h / 25

Multiply both sides by 25

25 × 0.7489557 = h

18.723893 = h

Therefore, the height of the wall is 18.7 feets

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