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Mathematics 10 Online
OpenStudy (anonymous):

for questions 13 and 14, refer to the figure. The angle of elevation from the end of the shadow to the top of the building id 70 degrees and the distance is 180 feet. first question is asking to find the height of the building to the nearest foot.

OpenStudy (anonymous):

OpenStudy (anonymous):

@Mertsj

Directrix (directrix):

We need to use right triangle trig. Which ratio is the oppostie leg over the hypotenuse? @frogs29

OpenStudy (anonymous):

sin

Directrix (directrix):

Yes. sin 70° = h/180 where h is the height of the building.

OpenStudy (anonymous):

alright

Directrix (directrix):

sin 70° = h/180 h = 180 * (sin 70° ) h = ? @frogs29

OpenStudy (anonymous):

ummm 12,600?

OpenStudy (anonymous):

@Directrix

Directrix (directrix):

Let me see what I get.

Directrix (directrix):

>>>ummm 12,600? No. Is your calculator set to degrees? @frogs29

Directrix (directrix):

What is sine of 70 degrees?

OpenStudy (anonymous):

no and im not sure

Directrix (directrix):

Go to Google.com and enter this in the search box: "sine of 70 degrees" The Google calculator will toss back the sine of 70 degrees and you can post that result here.

OpenStudy (anonymous):

0.93969262078

Directrix (directrix):

Okay. Multiply that by 180 and post what you get.

OpenStudy (anonymous):

169.144672

Directrix (directrix):

Correct. Look at the instructions to see if you are supposed to round the answer.

OpenStudy (anonymous):

round to the nearest foot so its just 169 foot

Directrix (directrix):

I agree.

OpenStudy (anonymous):

so now i have to find the length of the shadow to the nearest foot

Directrix (directrix):

cos 70 degrees = y/180 where y is the shadow length

OpenStudy (anonymous):

okay so how do i start it?

Directrix (directrix):

cos 70° = y/180 y = 180 * cos(70°) Find cosine of 70 degrees by entering "cosine of 70 degrees" into the Google search box. Post what it throws back.

OpenStudy (anonymous):

oh ok

OpenStudy (anonymous):

so its62?

Directrix (directrix):

Yes, I got 62 for the shadow when I rounded up.

OpenStudy (anonymous):

alright thank you so much!!

Directrix (directrix):

You are welcome.

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