Since I can’t type the answer, here is the image of the answer. Hope I helped!
Answer:
in the explanation
Step-by-step explanation:
In a 30-60-90 triangle, the ratio of the leg opposite to 30 to the leg opposite to 60 to the hypotenuse is 1:
:2.
So, the 7 inch leg is the 1, the other leg is 7
in and the hypotenuse is 14 in.
Hope this helps!
Answer:
Wrong Question
Step-by-step explanation:
You should write of what context is this question. Else wise the question will be wrong.
This doesn't follow mathematical arithmetic rule at all.
You can use the identity
cos(x)² +sin(x)² = 1
to find sin(x) from cos(x) or vice versa.
(1/4)² +sin(x)² = 1
sin(x)² = 1 - 1/16
sin(x) = ±(√15)/4
Then the tangent can be computed as the ratio of sine to cosine.
tan(x) = sin(x)/cos(x) = (±(√15)/4)/(1/4)
tan(x) = ±√15
There are two possible answers.
In the first quadrant:
sin(x) = (√15)/4
tan(x) = √15
In the fourth quadrant:
sin(x) = -(√15)/4
tan(x) = -√15