Using the figure below, find the value of a. Enter your answer as a simplified radical or improper fraction (if necessary)

a = 15/4

Step-by-step explanation:

tan 60 = y/a

√3 = y/a

y = √3a

tan 30 = y/b

1/√3 = y / b

y = b/√3

√3 a = b/√3

3a = b

a+b = 15

a + 3a = 15

4a = 15

a = 15 / 4

15/4

Step-by-step explanation:

sin60 =z/15

z=15sin60 =(15√3)/2

cos30 =b/z

b = zcos30 = (15√3)/2 * √3/2 = 45/4

a = 15-b = 15-45/4 = 15/4

8 < i think

hope this !