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Mathematics 20 Online
OpenStudy (jessiegonzales):

MEDAL!!!!

OpenStudy (jessiegonzales):

16. To approach the runway, a pilot of a small plane must begin a 15* descent starting from a height of 2,530 feet above the ground. To the nearest tenth of a mld,how many miles from the runway is the airplane at the start of this approach? The figure is not drawn to scale. A.0.5 mi B.1.8MI C. 1.9mi D. 9,775.2MI

OpenStudy (jessiegonzales):

OpenStudy (campbell_st):

well by alternate angles in parallel line you can say |dw:1421700222728:dw|

OpenStudy (jessiegonzales):

5280feet=1 mile

OpenStudy (campbell_st):

did you find an answer for x, it will be in feet. then divide it by 5280 to convert it to miles

OpenStudy (jessiegonzales):

the angles are 90 75 and 15

OpenStudy (jessiegonzales):

how do i find x

OpenStudy (campbell_st):

ok... so looking at the diagram I posted, which trig ratio would you use..?

OpenStudy (jessiegonzales):

hypotenuse/opposite

OpenStudy (campbell_st):

that's correct... so which ratio is equal to opposite/hypotenuse? sin, cos or tan

OpenStudy (jessiegonzales):

sin

OpenStudy (campbell_st):

great so you have \[\sin(15) = \frac{2530}{x}\] which means \[x = \frac{2530}{\sin(15)}\] you need to solve for x by completing the calculation then divide the answer by 5280, which will convert it to miles. hope it makes sense

OpenStudy (jessiegonzales):

2530/0.65028784

OpenStudy (campbell_st):

that's correct. when you get the answer, divide it by 5280 to get miles

OpenStudy (jessiegonzales):

okay its 0.73685319

OpenStudy (campbell_st):

no.... you are dividing by a decimal so the answer should be larger than 2530

OpenStudy (jessiegonzales):

so the answer is D?

OpenStudy (campbell_st):

no, the answer you have just calculated is in feet.. now divide the answer by 5280 to convert it to miles. round the answer to 1 decimal place

OpenStudy (jessiegonzales):

okay so 1.8

OpenStudy (jessiegonzales):

?

OpenStudy (campbell_st):

well I got 1.85136 so when you round it to 1 decimal place... what do you think the answer is

OpenStudy (jessiegonzales):

1.9

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