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2 years ago

11

A ramp to a building has a height of 4 feet and the angle of elevation is 33 defrees. How long is the ramp?

1 answer:

sladkih [1.3K]2 years ago

5 0

Height=4 ft
angle=33 degrees
My tip first is to draw it out. Draw an acute angle opening up to a building forming a triangle. Inside of the vertex of the acute angle is the degree 33 and the height of the building is 4 ft. So, use trig! Do you have a calculator? Opposite over hypotenuse is Sine. (SOH CAH TOA). (4)/(sin(33)). which equals 7.34 ft as your height! Hope this helped!

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fgiga [73]

Answer:

$\boxed{10>-15}$

Step-by-step explanation:

$-2$

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$-2 \times -5$

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vlabodo [156]

The slope of y = 3x - 4 on the interval [2, 5] is 3 and the slope of y = 2x^2-4x - 2 on the interval [2, 5] is 10

<h3>How to determine the slope?</h3>

The interval is given as:

x = 2 to x = 5

The slope is calculated as:

$m = \frac{y_2 -y_1}{x_2-x_1}$

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Substitute 2 and 5 for x

y = 3*2 - 4 = 2

y = 3*5 - 4 = 11

So, we have:

$m = \frac{11 - 2}{5 - 2}$

$m = \frac{9}{3}$

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<u>17. y = 2x^2-4x - 2</u>

Substitute 2 and 5 for x

y = 2 * 2^2 - 4 * 2 - 2 = -2

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1 year ago

What are the missing angle measures in triangle ABC?

Finger [1]

we know that

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so

Step $1$

Find the measure of angle B

we know that

$tan\ B=\frac{opposite\ side\ angle\ B}{adjacent\ side\ angle\ B}$

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so

$tan\ B=\frac{7}{5} \\ \\ B=arc\ tan\frac{7}{5} \\ \\ B=54.5\ degrees$

Step $2$

Find the measure of angle A

$A+B=90\\ A=90-B\\ A=90-54.5\\ A=35.5\ degrees$

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the answer is the option

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