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svet-max [94.6K]
3 years ago
10

A person is standing 50 yards from the base of a building. The angle of elevation from the person to the top of the building is

25-degrees. How tall is the building?

Mathematics
1 answer:
Whitepunk [10]3 years ago
6 0

Answer:

The height of the building is H = 11.65 yards

Step-by-step explanation:

Distance from the base of the building to the person = 50 yards

Angle of elevation = 25°

From Δ ABC

⇒ \tan 25 = \frac{H}{25}

⇒ H = 25 \tan 25

⇒ H = 11.65 yards

Therefore  the height of the building is H = 11.65 yards

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4 0
3 years ago
Your hourly salary increased from $14 to $29. What is the percent increase in your<br> salary?
V125BC [204]

Answer:

107%

Step-by-step explanation:

$14 to $29

Original number/start = $14

End number = $29

Increase = $29 - $14 = $15

% increase = Increase ÷ Original Number × 100

Substitute in known values

% increase = 15 ÷ 14 × 100

Divide

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Multiply

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The percentage increase is 107%

Hope this helps :)

4 0
4 years ago
Read 2 more answers
Find the area of the figure. 7 cm 4 cm 4 cm 1 10 cm 10 cm 8 cm 19 cm
Paladinen [302]

Answer:

132cm^2

Step-by-step explanation:

first break the shape up into component shapes. the shape is made of two rectangles and two triangles. the area for a rectangle is A=BH where b is base and h is height. the area of a right triangle is BH/2 where b is the base and h is the height. you are given the base and height of the top rectangle 4x7. To find the area of the triangles and the second rectangle you have to do some algebra. the total base length is 19cm and the top rectangle has a length of 7cm so 19-7 leaves you with 12cm to spare and there is two symmetric triangles on each side so 12/2 is 6. now we know all the measurements and can solve.

3 0
3 years ago
The fraction of skilled workers is 4/9 , unskilled workers 1/10 supervisors 2/7 and the rest are managers if the total number of
Darina [25.2K]
This is all percentages so...
4/9 = 44%
2/7 = 29%
1/10 = 10%
Total = 83%
So 17% of 630 is left over which = 107
5 0
3 years ago
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