The angle of elevation to the top of a 30 story skyscraper is measured to be 4 degrees from a point that is on the ground 2500 ft from the building. What is the height of the skyscraper to the nearest hundredth foot?

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- Compassionate

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- Compassionate

Are you familiar with SOHCAHTOA

- cutiecomittee123

yes

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## More answers

- cutiecomittee123

i found the ther angle in the triangle so it is 4-86-90

- cutiecomittee123

and i found the sin(86)= 2493.91
because sin(86)=x/2500
multiply bioth sides by 2500 and then x=2500xsin(86)
x=2493.91
Therefore the hyptotenus is 2493.91
but I think that is wrong because 2500 is more than that and it is a leg

- Compassionate

You need to be in degrees. Change your calculator to radians. The equation is: \[\tan 4 = \frac{ x }{ 2,500 }\]

- cutiecomittee123

okay and x=174.81

- Compassionate

Yuppers.

- cutiecomittee123

wait that cant be right either

- cutiecomittee123

no way because then the hypotenus is smaller than the leg

- cutiecomittee123

ohhhh i see we were using tan so it is the oposite leg and that is the overall answer to the side that we were looking for, okay thanks, i was making it way more complicated than it shoulve been

- Compassionate

I agree. This question doesn't make any sense, because it gives a slant of 270 feet per room which is nonsensical, but given the information, that is the correct answer. No one ever said maths made sense.

- cutiecomittee123

true

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