alycecruz556
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The extension ladder on top of a 6 ft high hook and
ladder truck is 150 ft long. If the angle of elevation of
the ladder is 70°, to what height on a building will the
ladder reach?
CA
G10
1
X 3
70°

Respuesta :

The ladder will be able to reach 140.95ft on the building

Data;

  • Angle of elevation = 70 degrees
  • length of the ladder (hypothenuse) = 150ft

Height of The Building

To calculate the height of the building, we have to use trigonometric ratios which is SOHCAHTOA because the angle and the wall of the building forms a right angle triangle

Since we have the value of hypothenuse and angle, we can find the opposite side using the sine ratio

[tex]sin \theta = \frac{opposite}{hypothenuse}\\ sin 70 = \frac{x}{150} \\x = 150sin70\\x = 140.95ft[/tex]

From the calculations above, the height of the building which the ladder will reach is 140.95 ft.

Learn more on trigonometric ratio here;

https://brainly.com/question/4326804

https://brainly.com/question/10417664

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