A plane takes off at an angle of elevation of 15° and travels in a straight line for 3,000 meters. What is the height of the plane above the ground at this instant?
2898 m
2701 m
804 m
776 m

Question

thesmartone · Answer

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Which trignometric function do we need to use?
We know an angle. We're trying to find the side opposite it and we know the side adjacent to it.

Remember: 
sin = opposite/hypotenuse
cos = adjacent/hypotenuse
tan = opposite/adjacent

brainlyofficial · Answer

I think perhaps the drawing needs to be edited. I think the hypotenuse is 3000m, not the bottom?

phi · Answer

The question is not very clear.  They may mean 3000 m in the direction of travel (as opposed to horizontally)

thesmartone · Answer

mhmm, oh yes. My bad. It should be the hypotenuse.

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So which trignometric function should we use? @09h8822332e43

09h8822332e43 · Answer

sin?

09h8822332e43 · Answer

hello? please i need an answer

thesmartone · Answer

Yes, we need to use sin.

sin $\theta$ = opposite/hypotenuse

can you plug in the information we were given in to it and solve for the opposite side?

09h8822332e43 · Answer

sin(15) /3000 something like that?

alexa · Answer

is this plato?

09h8822332e43 · Answer

yes

phi · Answer

I would write it as
sin(15) = x/3000

now "solve for x"  by multiplying both sides by 3000
3000*sin(15) = x

phi · Answer

you will need a calculator or  paste into google
3000*sin(15 deg)=

09h8822332e43 · Answer

thanks