Question

PLEASE HELP
What are the values of m and in the diagram below?

Answer 1

Explanation:

Using Pythagorean theorem

1^2 = 1/2 ^2 + m^2

3/4 = m^2

m = sqrt (3) / 2

Using trig relations Tan Φ = opposite / adjacent = sqrt(3)/2 / 1/2 = sqrt 3

tan Φ = sqrt3

Φ = (arctan ( sqrt 3) ) = pi/3 or 60 degrees (use a calculator)