We start with the more complicated side which is the left side, and show that, on using some trigonometric identities, we will get the term on the right side .

Using Quotient identity for tangent function, we will get


Taking out sine function from the numerator

Cancelling the common term of numerator and denominator

Answer:
13.7
Step-by-step explanation:
It forms a triangle.
They are trying to find the height, cause they say the east-bound car went east so that makes the bottom of the triangle, the width. They also give is the distance in between both cars so that's the hypotenuse so let's set up the equation...
15² - 6² = 189
now we square root it
√189 = 13.7
Answer:
Becky, because her justification for the second statement should be "definition of supplementary angles" rather than "angle addition postulate."
Step-by-step explanation:
Becky completed the proof incorrectly because her justification for the second statement is not totally correct.
Angle addition postulate does not really apply here, as the sum of 2 angles may not give you exactly 180°.
However, the second statement, m<AKG + m<GKB = 180° and m<GKB + m<HKB = 180°, can be justified by the "Definition of Supplementary Angles".
The sum of supplementary angles = 180°.
Therefore, Becky completed the proof incorrectly.