The master roofer wants to put the ladder on the side of the house but she doesn't
know if it can be set at the proper angle. What will be the angle of elevation if the
10-foot long ladder is placed 1 feet from the wall?

Answer: About 84.261 degrees

Step-by-step explanation:

To find the angle of elevation, we can create a triangle and solve for the angle.

First, we can imagine a triangle with side A being the ground between the base of the ladder and the wall, side B being the wall (from the base of the wall to where it touches the top of the ladder), and side C being the ladder (from where it touches the ground to where it touches the wall).

In the problem, it has already given us two of the side lengths we need to solve for the angle of elevation:

1. We know that the ladder is 10 feet tall, so we can say that side C is 10.

2. We know that the ladder base is placed 1 foot from the wall, so we can say that side A is 1.

The angle of elevation is the angle that the ladder is tilted from the ground, or the angle between the ground (side A) and the ladder (side C). These sides relative to the angle would be the adjacent (side A) and the hypotenuse (side C).

To calculate for the angle, we can use the cosine function. (cos = adjacent / hypotenuse)

To find the angle of elevation (which we can call angle b), we can use:

cos(b) = A / C

arccos(A / C) = b

(Note: arccos is the inverse of the cos function)

Then, we can plug in the values and get:

b = arccos(1 / 10)

b = 1.471 radians OR 84.261 degrees

what is the domain and range of this graph? I'll give brainliest

The circumference of circle P is 800 mm, the circumference of circle Q is 200 cm, and the circumference of circle R is 4 m. What is the sum of the distances around each circle?

A school's service club is sponsoring a dance in the
school gym to raise money for a local charity. The expenses will be
$625, and tickets to the dance will cost $8.50. The club members hope
to raise enough after expenses to donate at least $1000 to the charity.
Write an inequality that describes the situation. If the club members
sell 195 tickets, will they meet their goal?

Solve
"7x^2+19x-6 = 0

A store sells jump ropes each jump rope costs the same amount during the sale the store reduces the price of each jump rope by $1.90 Marc spends $12.78 on 2 jump ropes at the sale price what was the price of 1 jump rope before the sale??

8x2 - 6x + 3 – 2x – 10x?

help help its area but its easy dont guess plssss ill give brainiest to first right answer ty love you

Jerrilyn wrote the following argument to prove that UV/VX = UW/WY in the figure below. (Picture) Which statement is missing in Jerrilyn's proof?

y/3= -4

i hate mathss

A local fair has an entrance fee of $10. Each ride costs $1.25.
a. If Todd has $26.25, write an equation and determine how many rides could he ride
after he pays the entrance fee?
b. Explain the steps in solving the equation by naming the property or properties you used.
c. What mathematical symbol represents the word “is”?
d. What is the first step in solving this problem?
(Please answer as quick as YOU can!)

Select all the expressions that are equivalent to 3x + 9 + 32 +9..
Please help

What is a solution to the system of linear equations?

(-3,0)
(-3,3)
(0,2)
(3,1)

What is the answer to the question listed below?

That moment when you realize you don't know anything

Find g(-6) if g(x) = -5x – 2

What rule describes the translation of an image three units up and five units to the left?
A.(x, y) --> (x + 5, y - 3)
B.(x, y) --> (x - 3, y + 5)
C.(x, y) --> (x - 5, y + 3)
D.(x, y) --> (x + 3, y - 5)

Carlos is a member of a gym. He pays a monthly fee plus a per- visit fee. The equation y = 3x + 10 represents the monthly amount Carlos pays for x visits.
if Carlos pays $85 in the last month how many times did he visit the gym?

The formula for the surface area of a cube is 6 s2 , where s is the length of one side of the cube. What is the volume of the cube shown below if each side is 5 ft long?

how do i solve this??

If you left $25.00 on your table for a $21.50 meal, what was the percent of the tip?

find the total amount in each account to the nearest cent if the interest is compounded twice a year.

$3750 at 10.25% for 2 years.

please help, see attachment

Entry tickets for a firework display were charged at £10
for children and £25 for adults. 800 people attended
the event and the ratio of adults to children was 7:9.

a.
Work out the total revenue from ticket sales

b.
60% of the tickets cost was given to charity.
How much was given to charity?

Does anyone know the answer ?

Where will the function y=1x−4 have a vertical asymptote?

This is for today I have until tonight to finish someone help me plsss!!!

Francisco has a cylindrical barrel 3 feet tall that he uses to collect rainwater. The barrel is not empty when rain begins to fall at a steady rate. Francisco checks the level 2.5 hours after the rain begins falling and finds that the water level in the barrel is 31.5 inches. He checks again 2.5 hours after his first check and finds that the water level is 32.5 inches. By how many inches does the water level increase for each additional hour of rainfall?

Monica receives a flat rate of $25 and an hourly rate of $15 when she works. Which of the following equations represents the total amount d she earns
when she works hours?

Which situation can be represented by 12 x 52
A. Sara has 12 stickers, Randall has 5 more stickers than Sara,
B. Sara has 12 stickers, Randall has 5 fewer stickers than Sara,
C. Sara has 12 stickers, Randall has 5 times as many stickers as Sara,
D. Sara has 12 stickers, Randall has ļ times as many stickers as Sara.
OE.
E. Sara has 12 stickers, Randall has the same number of stickers as Sara,

can u please help me? i’ll give brainliest