MHB Determine if you have enough info to figure a side

[clhrhrklsr]

I have a couple of practice problems similar to ones I've seen before.

Could anyone tell me how to figure these? I don't even know where to begin on solving these. How do you begin to determine if you have enough information.

Thanks in advance for any help! View attachment 2802

 

[RLBrown]

No.
0<a<15

Suppose you have a 15 foot ladder to place against a wall. 'a' represents the distance of the base from the wall.

 

[clhrhrklsr]

No.
0<a<15

Suppose you have a 15 foot ladder to place against a wall. 'a' represents the distance of the base from the wall.

Thanks! Okay, now the 2nd question on my attachment. Is there enough information given to find the length of side C? You are given a 90 degree angle, a 67 degree angle. You are also given a height of 10'-0". Side "C" is the slope of the triangle. Is there enough information given in this triangle to find side C?

 

[Prove It]

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Thanks! Okay, now the 2nd question on my attachment. Is there enough information given to find the length of side C? You are given a 90 degree angle, a 67 degree angle. You are also given a height of 10'-0". Side "C" is the slope of the triangle. Is there enough information given in this triangle to find side C?

Yes there is. What trigonometric ratio do you think you will need to use?

 

[clhrhrklsr]

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Yes there is. What trigonometric ratio do you think you will need to use?

Please correct me if I'm wrong.

\tan\left({67}\right) = \frac{AB}{BC}

AB = 10 x \tan\left({67}\right)

\tan\left({67}\right) = 23.5585

If you need to convert the decimal to feet and inches, you would get the following-

23.5585=23'-6\frac{11}{16}"