Question

Find the measure of the side of the right triangle whose length is designated by a lowercase letter. (see attachment)

Please explain step-by-step.

Answer 1

a≈18 cm

Explanation:

we have given:

an angle,

the adjacent side and

we need to find:

the opposite side

we know that the definition of

tan of an angle = opp. side/ adj. side

tan 61° = a/ 10

multiply both sides by 10

10 * tan61° = a

18.04047755 = a

18 ≈ a