gabbybard204
gabbybard204 gabbybard204
  • 24-03-2020
  • Mathematics
contestada

A 30 foot ladder needs to reach 18 feet high against a building. What would the approximate angle of elevation be from the ground?

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 02-04-2020

Answer:

The angle of elevation is 36.87°

Step-by-step explanation:

We use the sine ratio to determine the angle of elevation, x.

The sine ratio is given as:

[tex] \sin(x) = \frac{opposite}{hypotenuse} [/tex]

We substitute the opposite side, which is the height of the pole and the hypotenuse, which is the height of the ladder to get:

[tex] \sin(x) = \frac{18}{30} [/tex]This implies that;

[tex] \sin(x) = 0.6[/tex]

[tex]x = \sin^{ - 1} (0.6)[/tex]

[tex]x = 36.87 \degree[/tex]

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