find the value of x for this right triangle

[bustybasililsk]

Find the value of x in the figure below: (Round to the nearest hundredth)

screen-shot-2017-02-14-at-62045-pm-977850-1487114795623 hosted at ImgBB

Image screen-shot-2017-02-14-at-62045-pm-977850-1487114795623 hosted in ImgBB

ibb.co

 

[lev888]

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[Dr.Peterson]

Find the value of x in the figure below: (Round to the nearest hundredth)

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]

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]

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]

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.