Question

Solve the right triangle please please help me. . WRITE ANSWERS IN RATIONALIZED FORM ONLY!!!!!!

Answer 1

To find EF, we will use the formula;

cosθ = adjacent / hypotenuse

From the diagram,

adjacent = 9√3

hypotenuse =EF

cos 30 = 9√3 / EF

`EF\text{ =}\frac{9\sqrt[]{3}}{\cos 30}`

EF = 9√3 / cos 30

EF= 18

To find DE, we will use the formula;

tan θ = opposite / adjacent

tan 30 = DE /9√3

DE= (9√3) tan 30

DE= 9

To find m

30° + 90° + m

120° + m

subtract 120° from both-side of the equation

m

m< E = 60°