Answer:
Q1) x = 17.3
y = 8.7
Q2) d = 19
Explanation:
Question 1
Angle = 60°
Hypotenuse = x
Adjacent = y
Opposite = 15
Step 1: Find x
Sin (angle) = opposite/hypotenuse
Sin (60°) = 15/x
x = 10√3 = 17.3
Step 2: Find y
Tan (angle) = opposite/adjacent
Tan (60°) = 15/y
y = 5√3 = 8.7
Question 2
Step 1: Find the diagonal of the base
c² = a²+b²
c² = 6² + 10²
c = 2√34 = 11.7
Step 2: Find diagonal d
c² = a² + b²
d² = 11.7² + 15²
d = 19
!!