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3 years ago

NEED HELP! The endpoints of WX are W(2,-7) and X(5,-4).

Mathematics

1 answer:

jeyben [28]3 years ago

3 0

Answer:

3√2 or 4.24

Step-by-step explanation:

d(w,x) = √(5-2)² + (-4-(-7))² = √18 = 3√2 (4.24)

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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

Reshawn is buying 3 books in a trilogy set for $24.81. He will save $6.69 by buying the trilogy set instead of buying individual

gulaghasi [49]

$10.50

Explanation:

Let x be the cost of the individual books. Then 24.81=3x−6.69

3x= 24.81+ 6.69 =31.50

x=31.50/3=10.50

6 0

3 years ago

If you are going 35 miles per hour, how many miles would you have driven in 3 hours.

Sergeeva-Olga [200]

Answer: you would have driven 105 miles.

Step-by-step explanation: 35x3 = 105

6 0

3 years ago

Round off 786 to the nearest 1000

Zarrin [17]

Answer:

Round off 786 to the nearest 1000

Your answer would be 790.

Step-by-step explanation:

Have a great day.

7 0

3 years ago

Read 2 more answers

In three plays, a football team loses five yards and then gains 32 yards by completing a pass. Then a penalty was called and the

masha68 [24]

The team only gained 7 yards

7 0

4 years ago