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Nimfa-mama [501]
2 years ago
13

What is the value of x, rounded to the nearest degree? x ≈ ° According to the manufacturer, if the angle the ladder forms with t

he ground, x, is between 70° and 75°, then it meets safety standards. Is this ladder being used safely?.
Mathematics
1 answer:
DerKrebs [107]2 years ago
5 0

The measure of the value of x is 70.52 degrees.

Given

A 12-foot ladder is placed 4 feet away from a house as shown.

According to the manufacturer, if the angle the ladder forms with the ground, x, is between 70° and 75°, then it meets safety standards.

<h3>What is cos angle?</h3>

The cos theta is defined as the ratio of the side adjacent to the angle and the hypotenuse.

The following formula is used to calculate the value of x;

\rm Cosx=\dfrac{Side \ adjacent \ to \ angle}{Hypotenuse}\\

Where the side adjacent to angle = 4 and hypotenuse is 12.

Substitute all the values in the formula;

\rm Cosx=\dfrac{Side \ adjacent \ to \ angle}{Hypotenuse}\\\\\rm Cosx=\dfrac{4}{12}\\\\\rm Cosx=\dfrac{1}{3}\\\\x=Cos{-1}(\dfrac{1}{3}\\\\x= 70.52 \ degrees\\\\

Hence, the measure of the value of x is 70.52 degrees.

To know more about Trigonometric ratios click the link given below.

brainly.com/question/3630461

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