I NEED HELP!! WILL GIVE BRAINLIEST 40 POINTS
1. For safety, a ladder should make a 75 degree angle with the ground, as shown here. Use a trigonometric ratio to determine how far up the wall a 16-foot ladder will reach. (Find x.) Round to four decimal places. (PICTURE IS INSERTED)

A. 4.1411 ft
B. 15.3802 ft
C. 15.4548 ft
D. 59.7128 ft

2. Use Pythagorean Theorem to find the length of segment AC (the distance the base of the ladder will be from the base of the house). Round to two decimal places.

A. 4.14 ft
B. 4.42 ft
C. 15. 45 ft
D. 73.27 ft

10 ! in a race, nick is 50 feet in front of jay after ten seconds. how fast can nick run, if jay can run 20 feet per second?

An automobile assembly line operation has a scheduled mean completion time, μ, of 12 minutes. the standard deviation of completion times is 1.6 minutes. it is claimed that, under new management, the mean completion time has decreased. to test this claim, a random sample of 33 completion times under new management was taken. the sample had a mean of 11.2 minutes. assume that the population is normally distributed. can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? assume that the standard deviation of completion times has not changed.

The perimeter of an equilateral triangle is 4 cm more than the perimeter of a square and the length of a side of the triangle is 8 cm more than the length of a side of the aware. find the length of a side of the equilateral triangle