The top of a 22-foot ladder rests against the top of an 18-foot wall. if the base of the ladder is on the same ground level as that of wall, what angle does the ladder form with the ground? express your solution to the nearest degree.

Step-by-step explanation:

Given that The top of a 22-foot ladder rests against the top of an 18-foot wall.

The ladder, the wall and the floor together make a right angled triangle with hypotenuse as ladder.

Thus we have a right triangle with hypotenuse = 22 ft

and the side of the wall = 18

The required angle is the angle  the ladder form with the ground.

Hence we have if x is the angle

From this we can find the angle X

X = sin inverse of 18/22

X=54.9

Round it off to X=55 degrees

this may not be at all, but i use the same website you're using for school, and if i'm stuck doing one of these i try to look for it on the section.

(a) {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …}

(b) $59 398

step-by-step explanation:

(a) the annual sequence of profits

aₙ = a₁rⁿ⁻¹

the model for the sequence of profits is {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …} .

(b) profit after 15 yr

  a₁ = $ 30 000

  r = 1.05

a₁₅ = 30 000 × 1.05¹⁴

a₁₅ = 30 000 × 1.979 93

a₁₅ = $59 398

the profit in year 15 will be $59 398.