The first person to answer the question CORRECTLY, I'll give you 45 points and will mark you the BRAINLIEST!!!!

A 10-foot ladder placed on level ground leans against the side of a house. The ladder reaches a point that is 9.2 feet up on the side of the house.

(a) What is the measure of the angle formed by the ladder and the level ground? Round your answer to the nearest degree. Show your work.

(b) The Occupational Safety and Health Administration (OSHA) sets standards for a variety of occupations to help prevent accidents and other safety hazards. OSHA’s standard for the angle formed by a ladder and level ground is . The same 10-foot long ladder is placed against the building according to OSHA’s safety standard. What is the distance between the foot of the ladder and the foot of the building? Round your answer to the nearest tenth. Show your work.

By help of trigonometric table, we find that the measure of the angle formed by the ladder and the level ground is 66.92° and the distance between the foot of the ladder and the foot of the building under OSHA's standard is 2.588 feet.

What is trigonometric table ?

Trigonometric table helps to find the values of trigonometric standard angles such as 0°, 30°, 45°, 60° and 90°.

The ladder placed against the side of the house makes a right angle triangle with the ladder being the hypotenuse and wall being perpendicular.

Perpendicular =9.2 feet

Hypotenuse = 10 feet

Angle formed by the ladder and the level ground = sinα = perpendicular/ Hypotenuse = 9.2/10

sinα = 0.92

α = 66.92°

If the angle between the ladder and foot of the building is 75°.

Let distance between the foot of the ladder and the foot of the building = x

cos75 = x/10

0.2588*10 = x

x = 2.588 feet

Learn more about trigonometric table here

https://brainly.com/question/12081744

#SPJ3