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3 years ago

How do u write this as an equation in slope intercept form?

Mathematics

1 answer:

Sholpan [36]3 years ago

3 0

Answer:

i believe it would be y= 3/2 + 5

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A man finds that the angle of elevationof a building is 22º. After walking 20 m towards the building, he finds that the angle of

tensa zangetsu [6.8K]

Answer:

<em>The height of the building is 21.38 m</em>

Step-by-step explanation:

<u>Trigonometric Ratios</u>

The ratios of the sides of a right triangle are called trigonometric ratios.

The image attached shows the measures and angles provided in the problem. The first angle of elevation is y=22°, the man walks B=20 m and finds the new angle of elevation is x=33°.

It's required to find the height of the building H.

The tangent ratio relates the opposite side with the adjacent side of a given angle. Applying it to the larger triangle:

$\displaystyle \tan y=\frac{\text{opposite leg}}{\text{adjacent leg}}$

$\displaystyle \tan 22^\circ=\frac{H}{D+B}$

Multiplying by D+B:

$\tan 22^\circ(D+B)=H$

Dividing by tan 22°

$\displaystyle D+B=\frac{H}{\tan 22^\circ}$

Subtracting B:

$\displaystyle D=\frac{H}{\tan 22^\circ}-B\qquad\qquad[1]$

Applying to the smaller triangle:

$\displaystyle \tan 33^\circ=\frac{H}{D}$

Multiplying by D:

$\tan 33^\circ D=H$

Substituting from [1]:

$\displaystyle \tan 33^\circ \left(\frac{H}{\tan 22^\circ}-B\right)=H$

Substituting values:

$\displaystyle 0.6494 \left(\frac{H}{0.4040}-20\right)=H$

Operating:

$1.6074H-12.988=H$

$1.6074H-H=12.988$

$0.6074H=12.988$

$H = 12.988/0.6074$

H = 21.38 m

The height of the building is 21.38 m

3 0

3 years ago

NEED HELP ASAP IF NOT I WILL FAIL. I WILL MARK YOU AS MOST BRAINIEST

aivan3 [116]

Y= 58x + 55
They charge 58$ per hour therefore 58 should correlate with x and since when don’t know y (the total amount) its y= and then just add 55

7 0

4 years ago

Find gcf of 12 and 14 next use the gcf to factor 12 + 14

NemiM [27]

Answer:

The GCF of 12 and 14 is 2,

Step-by-step explanation:

Use of GCF of 12 and 14

12 14 = 12 2 14 2 = 6 7 .

7 0

3 years ago

Which expression is a sum of cubes

Anestetic [448]

Answer: what is the rest of the question?

Step-by-step explanation:

5 0

3 years ago

What is the value of f(x) = –x2 – 2 when x = –1?

djyliett [7]

0 because the -x cancels out the ones negative and 1 x 2 is 2. And 2-2 is 0

8 0

3 years ago