A 22-foot ladder is resting against the side of a building. The bottom of the ladder is 3 feet from the building. Find the measure of the angle the ladder makes with the ground. Round your answer to the nearest tenth of a degree.
Answers
The measure of the angle the ladder makes with the ground is 82.2°
What is a right angled triangle?
A triangle in which one angle is 90° is called a right angled triangle.
- The side opposite to the right angle is the hypotenuse.
How to find the measure of the angle the ladder makes with the ground ?
According to the problem,
- Length of the ladder is 22 feet.
- The bottom of the ladder is 3 feet from the building.
- A right angled triangle is formed here, in which the ladder is the hypotenuse and the base is the distance between the bottom of the ladder and the building
We know that in a right angled triangle,
cosФ = , where Ф is the angle between base and hypotenuse.
Here, cosФ =
⇒ Ф = 82.2°
∴ The measure of the angle the ladder makes with the ground is 82.2°
Find out more information about the measure of angles of right angled triangle here: brainly.com/question/8074395
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We know the hypotenuse 22 ft,
the adjacent side 3 ft,
so the cosine of the angle we are going to search is 3/22
that's done cos α=3/22==>α=82.1625...°≈82.2°
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Draw a pair of vertical angles 25 degrees
Answers
he question is, how many raisins, will there be in total inside the box?
Equation and solutions:
=> 30% = 30% / 100% = .31
=> .31x = 21
=> .31x / .31 = 21 / .31
=> x = 67.8 total number of raisins inside the box, or let's convert it to whole number
=> 67.8 = 68 count
Answer:
70
Step-by-step explanation:
Answers
Total length of 15 car train is 240 centimeters.
What is the unitary method?
The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, car is 16 centimeters long.
The length of a 15 car train = Length of each car × Number of cars
= 16×15
= 240 centimeters
Therefore, the length of 15 car train is 240 centimeters.
To learn more about the unitary method visit:
brainly.com/question/22056199.
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Find the slope of the line containing the points (-3, 8) and (-5, 10)
Answers
Lookattheattachedpicture
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Answer:
Slope is -1
Step-by-step explanation:
Answers
Answers
Answer:
The domain and range of this relationship is (-∞,∞) and (-∞,∞) respectively.
Step-by-step explanation:
We are given that Carly is traveling to visit family.
She drive distance on first day = x
She drive distance on second day = y
We are also given that Carly is travelling a total of 800 miles.
So,x+y=800
We are supposed to find domain and range of this relationship.
y=800-x
Domain : (-∞,∞)
Range:(-∞,∞)
Hence the domain and range of this relationship is (-∞,∞) and (-∞,∞) respectively.
Answer:
domain: 0 ≤ x ≤ 800
range: 0 ≤ y ≤ 800
Step-by-step explanation:
Answers
Answer:28.26
Step-by-step explanation:9 x 3.14