poreally3290 poreally3290
  • 18-02-2021
  • Mathematics
contestada

A 17 -ft ladder leans against a building so that the angle between the ground and the ladder is 79 .

Respuesta :

adefunkeadewole adefunkeadewole
  • 19-02-2021

Answer:

3.24 feet

Step-by-step explanation:

A 17 -ft ladder leans against a building so that the angle between the ground and the ladder is 79 . Find the distance between the building and the ladder

We solve the above question using the Trigonometric function of Cosine

cos x = Adjacent/Hypotenuse

Adjacent = x feet

Hypotenuse = 17 ft

The angle = 79°

Hence,

cos 79 = x/17

Cross Multiply

x = cos 79 × 17

x = 3.2437529214.feet

Approximately = 3.24 feet

Therefore, the distance between the ladder and the building = 3.24 feet

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