If two angles are complementary, the sum of their measures is 90 degrees. Call one of the angles x. This means that its complement is 90 - x degrees. But the difference in their measures is 12 degrees.
Answer:12
Step-by-step explanation:
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;
Where the side adjacent to angle = 4 and hypotenuse is 12.
Substitute all the values in the formula;
Hence, the measure of the value of x is 70.52 degrees.
To know more about Trigonometric ratios click the link given below.
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