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svet-max [94.6K]
2 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]2 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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Translate the sentence into an inequality. Eight times the sum of a number and 27 is at most "-15." Use the variable y for the u
strojnjashka [21]

Answer:

8(y + 27) ≤ -15

Step-by-step explanation:

In the given inequality statement,  "Eight times the sum of a number and 27 is <u>at most</u> "-15""  

The first part, "Eight times the sum of a number and 27" means that 8 is multiplied to the sum of y and 27.  While the phrase "at most" means "<u>less than or equal to</u> (≤)"  The phrase also implies that the value of y can be -15, or any value less than -15.  

Therefore, the correct algebraic expression is: 8(y + 27) ≤ -15  

7 0
2 years ago
Which expression can be used to convert 100 USD to Japanese?
Montano1993 [528]

Answer:The expression that can be used to convert 100 USD to Japanese Yen is 100 USD = 100/Y Japanese Yen.

Step-by-step explanation:

3 0
3 years ago
4. The amount of money in Dave's checking account for the first week of
Ahat [919]

Answer: Mean- 547.3

Median- 575

Mode-no mode

range-550

Step-by-step explanation:

mode is the number that occurs the most

mean- add up all the numbers and divide them by them number of ad ins

range- largest number- smallest number

median- middle number

6 0
2 years ago
HELP ME PLEASE! Vector's map has the scaling missing.he knows from the lake to the youth center is 8 miles. on the map, they are
Naddik [55]
Hey there!

Since 2 goes into 8, you would simplify. You would get 1 inch and 4 miles. Next, set up a ratio. The ratio is 1 inch: 4 miles. So for every inch on the map, there is 4 miles.

I hope this helps!
7 0
3 years ago
PLEASE HELP ME WITH THIS
Vedmedyk [2.9K]
Let's start with the drawing. (See the drawing at the bottom of this answer.)

Draw a vertical segment.
At the bottom endpoint, draw a horizontal segment to the right.
The angle at the bottom left is a right angle.
So far this should look like an "L" shape.
The vertical segment is the wall, and the horizontal segment is the ground.

Now draw a segment that connects the right endpoint of the horizontal segment and the top endpoint of the vertical segment. Now you have a right triangle. The diagonal segment represents the ladder. The diagonal segment is the hypotenuse. Label the diagonal segment, the hypotenuse, 12 ft.
Label the vertical segment, the wall, 11.8 ft.

The angle at the bottom right is A. It is the angle the ladder makes with the ground. This angle cannot be greater than 75 degrees.

Now we use trigonometry to find the measure of angle A.

For this right triangle, and its angle A, you have a hypotenuse that measures 12 ft, and an opposite leg that measures 11.8 ft.
We need to find angle A.
The trig ratio that relates the opposite leg and the hypotenuse is the sine.

\sin A = \dfrac{opp}{hyp}

\sin A = \dfrac{11.8}{12}

\sin A = 0.98333

Since the sine of angle A equals 0.98333, we use the inverse sine function to find the measure of angle A.

A = \sin^{-1} 0.98333

A = 79.5^\circ

Answer:
The angle the ladder makes with the ground is 79.5 degrees which is greater than 75 degrees, so the ladder it will be unsafe in this position.


           |\
           |  \
           |    \
           |      \
opp = |         \ hyp = 12
= 11.8  |           \
           |             \
           |_______\  A
3 0
3 years ago
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