find the value of x for this right triangle

lev888

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Dr.Peterson

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Find the value of x in the figure below: (Round to the nearest hundredth)
1610561175901.png
I'd suggest finding the altitude (blue) first, using the left-hand triangle. Then use the right-hand triangle to find x.

Please show us where you get stuck.
 

bustybasililsk

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View attachment 24332
I'd suggest finding the altitude (blue) first, using the left-hand triangle. Then use the right-hand triangle to find x.

Please show us where you get stuck.
I think I got it.
So tan40=x/41 ---> 34.40308488
tan65=x/34.40308488
34.40308488tan(65) = 73.777
x = 73.78

Thanks
 

Dr.Peterson

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I think I got it.
So tan40=x/41 ---> 34.40308488
tan65=x/34.40308488
34.40308488tan(65) = 73.777
x = 73.78

Thanks
Good. That's what I got, so it must be right.
 

tkhunny

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Well, you did do what the good Dr. suggested.

I'm a little nervous about your rounding. It's okay as it stands, but it may be a dangerous business rounding first to thousandths AND THEN rounding to hundreths.
 
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