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matrenka [14]
3 years ago
14

A 24-ft ladder leans against the outside wall of a school, waiting for someone to climb and fix a broken window. The base of the

ladder is 15 ft from the base of the building. Before Levi climbs the ladder, he wants to make sure he has the ladder at a safe angle with the building before climbing. Find the angle of elevation the ladder makes with the ground.
a. approx. 51.3°

b. approx. 32.0°

c. approx. 38.7°

d. approx. 58.0°​
Mathematics
2 answers:
Aloiza [94]3 years ago
6 0
I am learning this right now but in two hours I will tell you
atroni [7]3 years ago
6 0

Answer:

A) 51.3 degrees

Step-by-step explanation:

cosine x=15/24=0.625

x=51.32 degrees

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<u>the answer part 1) is</u>

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<u>Part 2)</u> What is the area of a sector with a central angle of 3π/5 radians and a diameter of 21.2 cm?

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in this problem we have

Diameter=21.2\ cm\\ r=Diameter/2\\r=21.2/2\\r= 10.6\ cm

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A=352.8104\ cm^{2}

<u>Find the area of the sector</u>

we know that the area of the circle represent a sector of 2\pi radians

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\frac{352.8104}{2\pi }=\frac{x}{(3\pi/5)} \\\\x*2\pi=(3\pi*352.8104)/5\\ \\x= 105.84\ cm^{2}

therefore

<u>the answer part 2) is</u>

the area of the sector is

105.84\ cm^{2}

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