Posted by **gt** on Wednesday, April 24, 2013 at 11:57pm.

In the right triangle shown below, the length of AB is 8 units, ¡ÏA measures 60¡ã, sin 60¡ã ¡Ö 0.866,

cos 60¡ã ¡Ö 0.5, and tan 60¡ã ¡Ö 1.73. Approximately how many units long is BC , to the nearest

hundredth of a unit?

A. 4.00

- trignometry -
**Reiny**, Thursday, April 25, 2013 at 8:35am
Since you posted this twice, I think you realized that the symbols did not come out like you intended.

I think you meant this:

AB = 8, angle A = 60°

then you are given

sin60° = .866

cos60° = .5

tan60° = 1.73

the problem is that we don't know where the 90° angle is, could be at C or at B

If angle B = 90°

then

BC/8 = tan60

BC = 8tan60 = 8(1.732) = appr 13.86

if angle C = 90°

then

BC/8 = sin60

BC = 8sin60 = 8(.866) = appr 6.93

- trignometry -
**Joe**, Tuesday, May 13, 2014 at 9:27am
If it helps the answer according to this ACT compass sample test questions print out is 6.93.

How to solve it is the question ...

C is a 90 degree angle.

AB is 8 and the hypotenuse.

AC is the base .... we don't know it's length.

It's on page 14 if you google this -

2014 ACT In the right triangle shown below, the length of AB is 8 units

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