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Ivanshal [37]
3 years ago
14

Alex has locked himself out of his house! Thankfully, there is an upstairs window open, but he needs to use a ladder to try to g

et up to the window that is 10 feet high. If Alex leans a 10-foot ladder against the side of the house so that the bottom of the ladder rests 6 feet from the base of the building, how high up the house does the ladder reach? Round your answer to the nearest tenth.
Mathematics
2 answers:
jasenka [17]3 years ago
8 0
<h3>Answer: 8 feet</h3>

Explanation:

It might help to draw out what's going on. You should draw out a right triangle. We know a = 6 is one of the legs while b is the unknown leg. The hypotenuse is c = 10. Use the pythagorean theorem.

a^2 + b^2 = c^2

6^2 + b^2 = 10^2

36 + b^2 = 100

b^2 = 100-36

b^2 = 64

b = sqrt(64)

b = 8

The top of the ladder can reach 8 feet off the ground.

Nookie1986 [14]3 years ago
7 0

Answer:

The answer to this would be yes

Step-by-step explanation:

Why you may ask? Because why not :D

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2 years ago
This exercise involves the formula for the area of a circular sector. The area of a circle is 700 m2. Find the area of a sector
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Answer:

334.4 m²

Step-by-step explanation:

The formula for the area of a sector is given as:

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Where θ = Central angle

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The formula for the area of a circle = πr²

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Therefore, the area of the sector

= 1/2 × r² × θ

= 1/2 × 14.93² × 3 rad

= 334.35735 m²

Approximately, Area of the sector = 334.4 m²

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