Question

PLS HELP WITH 11, 12, 14, AND THE WORD PROBLEM

Answer 1

Ok so first you should get Sine (which can only be used in right angle triangles)
Sine of an angle = opposite / hypotenuse
What’s that?
The angle is the number given at one of the three points of the triangle. This number isn’t 90.
Opposite is the side that is opposite of the angle given
Hypotenuse is the side opposite of the 90 degree angle
The other side is called the adjacent
Cosine of angle = Adjacent / Hypotenuse
Tangent of angle = Opposite / adjacent
^ those you will need to know by heart

11) Sine 60 = X / 14
60 is your angle
X is your opposite
14 is your hypotenuse
Sine 60 x 14 = X
12.124 = X
For Y
To find your angle you:
(Add all the angles that you know)
90 + 60 = 150
(Then take 180 degrees and subtract the others to find the missing angle. Remember all angles in a triangle adds up to 180)
180 - 150 = 30
Then use the formula
Sine 30 = Y /14
Now 30 is the angle
And Y is the opposite
Sine 30 x 14 = Y
Use calculator
7 = Y

12) for this you have to use Tangent
Tangent angle = opposite / adjacent
Tangent (on calculator Tan) of 60 = X / 15
Tan 60 x 15 = X
16.732 = X

Then for Y
Sine 30 = 15 / Y
Y is the hypotenuse
15 is the opposite of 30 degrees
Sine 30 x Y = 15
Y = 15/sine 30
Y = 30

14) for X
Sine 60 = 4 x (square root 3) / X
Sine 60 x X =4(square root 3)
X = 4(square root 3) / sine 60
Calculator
X = 8

For Y
Tan 60 = 4(square root 3) / Y
Y x Tan 60 = 4(square root 3)
Y = 4(square root 3) / Tan 60
Calculator
Y = 12