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Likurg_2 [28]
3 years ago
9

amari is standing 50 feet from the base of a building. from where he stands, the angle formed from the top of the building to wh

ere he stands is 60 degrees. how tall is the building?

Mathematics
2 answers:
allsm [11]3 years ago
7 0
Approximately 86.8 ft. 
lisabon 2012 [21]3 years ago
5 0
Drawing it out from the top of the building as shown (we get 30 degrees because if the bottom angle is 60 and there's a right angle, 180-60-90=30),  tan30=opposite/adjacent = 1/sqrt(3)=50/x Multiplying each side by x and dividing by 1/sqrt(3), we get that 
x=50/(1/sqrt(3))= around 86.6 ft

If it's 60 degrees instead of 30,
tan60=opposite/adjacent = sqrt(3)=50/x Multiplying each side by x and dividing by sqrt(3), we get that 
x=50/sqrt(3)= around 28.87

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~~~20 POINTS~~~
ASHA 777 [7]
I'm so sorry for the late answer!

(a) Rectangular container
There are 3 pairs of congruent sides. Each side's area can be solved by multiplying either 12, 8, or 3. Then because for each side, there is another side that is exactly the same, we can multiply by 2.
(2*12*8) + (2*12*3) + (2*8*3) = 312

(b) Surface Area of a cylinder is 2 \pi  r^{2} +2 \pi rh
We know that r is 2 and that the whole expression is equal to 312.
Plug 2 back into the equation and set it equal to 312.
2 \pi *4+2 \pi *2h = 312 \\ 4 \pi *h = 312-8 \pi \\ h =  \frac{312-8 \pi }{4 \pi } = 23
The height of the cylinder has to be around 23 inches.
4 0
3 years ago
A carpenter has a board of 18.5 feet long and needs to cut as many 1.75 feet long pieces as possible how many pieces can the car
Lostsunrise [7]

Answer:


Step-by-step explanation:


6 0
4 years ago
In triangle △ABC, ∠ABC=90°, BH is an altitude. Find the missing lengths.
shtirl [24]

Answer:

HC=\sqrt{3}

Step-by-step explanation:

Let HC=x, it is given that AH=3HC, then AH=3x.

Since, from the given figure, ΔABC is similar to ΔBHC and ΔABC is similar to ΔABH.

Therefore, ΔABH is similar to ΔBHC, hence using the similarity conditions,

\frac{HC}{BH}=\frac{BH}{AH}

\frac{x}{3}=\frac{3}{3x}

3x^{2}=9

x^{2}=3

x=\sqrt{3}

Hence, HC=\sqrt{3}.


7 0
4 years ago
Can I please get help
dolphi86 [110]
I can’t see the picture☹️☹️☹️
7 0
3 years ago
Read 2 more answers
More than 1 correct answer, help!
andrew-mc [135]

Answer:

Select 1, 4 and 5

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The x intercept is 100

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3 years ago
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