ValeriaVironche2954 ValeriaVironche2954
  • 03-09-2020
  • Mathematics
contestada

A 37-ft ladder leans against a building so that the angle between the ground and the ladder is 73°. How high does the ladder reach up the side of the building?

Respuesta :

Eduard22sly
Eduard22sly Eduard22sly
  • 03-09-2020

Answer:

35.4 ft

Step-by-step explanation:

To solve this problem, we need to represent the statement in the question in a diagram.

Please see attached photo.

In the attached photo, x is the height of the building.

Thus, we can calculate the value of x as shown below:

Angle θ = 73°

Opposite = x

Hypothenus = 37 ft

Using the Sine ratio, the value of x can be obtained as follow:

Sine θ = Opposite /Hypothenus

Sine 73 = x /37

Cross multiply

x = 37 × Sine 73

x = 35.4 ft

Therefore, the ladder reached up to 35.4 ft of building.

Ver imagen Eduard22sly
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