Answer:
Part a)
Exact value 24√3 units
Approximate value 41.6 units
Part b) x=52.1 units
Step-by-step explanation:
Part a)
step 1
Find the exact value
Let
h-------> the blue dotted line
we know that
tan(60°)=h/24
h=tan(60°)*24
Remember that
tan(60°)=√3
substitute
h=24√3 units
step 2
Find the approximate value
h=24√3=41.6 units
Part b)
we know that
sin(53°)=41.6/x
x=41.6/sin(53°)=52.1 units