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3 years ago

The two men measure the angle of elevation to the highest point on the rock to be 22.6°. They

Mathematics

1 answer:

IgorC [24]3 years ago

3 0

Answer:

15 m

Step-by-step explanation:

Refer to attached picture

The height = h
Angles of elevation 22.6° and 38.3°
Closer distance = d

Use tangent to solve

tan 22.6° = h/(d + 17) ⇒ h = (d + 17) tan 22.6° ⇒ h = 0.42(d + 17)
tan 38.3° = h/d ⇒ h = d tan 38.3° ⇒ h = 0.79d

Compare the equations above and find the value of d:

0.42(d + 17) = 0.79d
0.42d + 7.14 = 0.79d
0.79d - 0.42d = 7.14
0.37 d = 7.14
d = 7.14/0.37
d = 19.3 m

Now find the value of h:

h = 0.79d
h = 0.79*19.3
h = 15

Wave Rock is 15 m tall

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3 years ago

M=-2 (-3,4) how do you write it into slope intercept

Blizzard [7]

Answer:

y = -2x - 2

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4 years ago

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maxonik [38]

Answer:

Grayson had 10 inches of snow in his lawn
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3 years ago

What is the value of 34 + 3.5(−44÷2)? a.−111 b.−43 c.43 d.111

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Answer:

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3 years ago

The nicotine content in a single cigarette of a particular brand has a distribution with mean 0.9 mg and standard deviation 0.1

Ad libitum [116K]

Answer:

The answer to the question is;

The probability that the resulting sample mean of nicotine content will be less than 0.89 is 0.1587 or 15.87 %.

Step-by-step explanation:

The mean of the distribution = 0.9 mg

The standard deviation of the sample = 0.1 mg

The size of the sample = 100

The mean of he sample = 0.89

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$Z =\frac{X-\mu}{\sigma/ \sqrt{n} }$ where

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σ = Standard deviation of the population

Therefore Z = $\frac{0.89-0.90}{0.1/\sqrt{100} }$ = -1

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4 years ago