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.

a. 67°

b. 3.9 ft

Step-by-step explanation:

a) the angle formed by the ladder and the level ground = sin`¹ 0.92 = 67°

b) the distance between the foot of the ladder and the foot of the building = 10× cos 67°

= 10 × 0.39 = 3.9 ft

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

this excerpt is taken from the book “we shall not be moved : the women’s factory strike of 1909 “ and is written by joan dash. it is the story of the great strike when almost 30thousand women working in factories in america formed a union to fight unsafe working conditions, long working hours and miserable wages.

question: which best states the author’s purpose for including this information in the text?

answer: to challenge the reader’s ideas about a historical event