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FromTheMoon [43]
3 years ago
12

Solve for x. Round your answer to 2 decimal places. (See image)

Mathematics
1 answer:
UNO [17]3 years ago
8 0

Answer:

A. 32.08

Step-by-step explanation:

The figure given is a right triangle. We would apply trigonometric ratios formula to find x.

Reference angle = 58°

Hypotenuse = x

Adjacent length = 17

Thus, we would apply the following:

Cos(\theta) = \frac{Adjacent}{Hypotenuse}

Plug in the values

Cos(58) = \frac{17}{x}

Multiply both sides by x

Cos(58) \times x = \frac{17}{x} \times x

Cos(58) \times x = 17

Divide both sides by Cos(58)

\frac{Cos(58) \times x}{Cos(58)} = \frac{17}{Cos(58)}

x = \frac{17}{Cos(58)}

x = 32.08 (2 d.p)

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The height of the skyscraper if the angle of elevation to the top of a prominent skyscraper to be 17° is 91.51 meter

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Let h represent the height of the skyscraper, hence:

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Total height = 89.88 + 1.63 = 91.51 meter

The height of the skyscraper if the angle of elevation to the top of a prominent skyscraper to be 17° is 91.51 meter

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2 years ago
A plain travels 3400 miles in 8 hours. How far will it travel in 6 hours at this rate
pashok25 [27]

Answer:

2550 miles in 6 hours

Step-by-step explanation:

if you divide the miles and hours by each other you will get the m/ph (miles per hour)

3400 ÷ 8 = 425

now, that we know the plane travels 435 m/ph, then if we multiply it by 6 we will get the answer

425 × 6 = 2550

4 0
3 years ago
What is the value of the following expression?
monitta

The expression (−81)(−9)  will give the value of 729.

<u>Step-by-step explanation:</u>

The given expression is (−81)(−9) .

The both numbers in the expression are negative numbers and they are given inside the brackets.

This means that, the negative numbers must be multiplied to get a final value.

<u>The rules in multiplication are :</u>

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From the rules, it can be determined that the result of any two negative numbers will be a positive number.

So, eliminate option A) and B) because they have negative sign.

The expression (−81)(−9) = -81 × -9

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Therefore, the option C) and D) are not in match with 729. None of the options are not the value of the given expression (−81)(−9).

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3 years ago
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