The measure of the indicated angle to the nearest degree is 47°.
<h3>What is the measure of the angle?</h3>
Given the data in the question;
- Adjacent = 36
- Hypotenuse = 53
- Angle θ = ?
From trigonometric ratio, Cosθ = Adjacent / Hypotenuse
Cosθ = 36/53
θ = cos⁻¹( 36/53 )
θ = 47°
Therefore, the measure of the indicated angle to the nearest degree is 47°.
Learn more about trigonometric ratio here: brainly.com/question/28016662
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Answer:
Step-by-step explanation:
Let A represent number of adult t-shirts and C represent number of child t-shirts.
We have been given that adults t-shirt are $5 child t-shirt are $2.50, so cost of A adult t-shirts would be 
and cost of C child t-shirts would be 
.
We have been given that Jerome need at least 200 adults t-shirt. This means the number of adult t-shirts should be greater than on equal to 200.
We can represent this information in an inequality as:
We are also told that Jerome will spend no more than $1500 on t-shirt. This means that cost of A adult t-shirts and C child t-shirts should be less than or equal to 1500.
We can represent this information in an inequality as:
Therefore, our required system of inequalities would be:
By the Pythagorean theorem
50^2 = x^2 +(x +34)^2
2500 = 2x^2 +68x + 1156
x^2 +34x -672 = 0
(x -14)(x +48) = 0
x = 14 or -48
The distance from the wall to the base of the ladder is 14 ft.
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7-24-25 is a Pythagorean triple. The dimensions here are double those values. It can be handy to know a few of the Pythagorean triples, as that can let you write down the answers to problems without having to go through the equations.
