trignometry
posted by gt .
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

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 
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
Respond to this Question
Similar Questions

math trigg.
which triangles do you use COS SIN or TAN? 
Trig
Given: cos u = 3/5; 0 < u < pi/2 cos v = 5/13; 3pi/2 < v < 2pi Find: sin (v + u) cos (v  u) tan (v + u) First compute or list the cosine and sine of both u and v. Then use the combination rules sin (v + u) = sin u cos … 
related rates with work shown
this is a relate rates problem in calculus in a right triangle, the hypotenuse is 5 and the vertical side is x and the angle is theta. so if theta increases at a constant rate of 3 radians per minute, at what rate is x increasing in … 
Mathematics  Trigonometric Identities
Let y represent theta Prove: 1 + 1/tan^2y = 1/sin^2y My Answer: LS: = 1 + 1/tan^2y = (sin^2y + cos^2y) + 1 /(sin^2y/cos^2y) = (sin^2y + cos^2y) + 1 x (cos^2y/sin^2y) = (sin^2y + cos^2y) + (sin^2y + cos^2y) (cos^2y/sin^2y) = (sin^2y … 
Geometry
x ________________<20* <90* y  <70* (hypotenuse length is 12 units) I'm learning about trig ratios, and my dad was trying to compare it to a circle or something? 
Trigonometry
Please review and tell me if i did something wrong. Find the following functions correct to five decimal places: a. sin 22degrees 43' b. cos 44degrees 56' c. sin 49degrees 17' d. tan 11degrees 37' e. sin 79degrees 23'30' f. cot 19degrees … 
precalculus
For each of the following determine whether or not it is an identity and prove your result. a. cos(x)sec(x)sin^2(x)=cos^2(x) b. tan(x+(pi/4))= (tan(x)+1)/(1tan(x)) c. (cos(x+y))/(cos(xy))= (1tan(x)tan(y))/(1+tan(x)tan(y)) d. (tan(x)+sin(x))/(1+cos(x))=tan(x) … 
trignometry
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? 
MATH
Hi, I really need help with these questions. I did some of them halfway, but then I got stuck. Would you please help me? 
Math, trignometry,Algebra
The curve y=sin(x)+pi/2 will experience which transformation from the function y=sin(x) 1)A shift pi/2units right 2)none of the above 3)A shift pi/2 united down 4)A shift pi/2 units up 5)A shift pi/2 units left