Answer:
1). a = 9.42 m
2). b = 6.37 m
3). c = 4.48 m
Step-by-step explanation:
In the figure attached,
By applying tangent rule in triangle ADE,
tan47 = [tex]\frac{h}{c}[/tex]
c = [tex]\frac{h}{\text{tan}47}[/tex]
c = [tex]\frac{4.8}{\text{tan}47}[/tex]
c = 4.476
c ≈ 4.48 m
Now we apply the same rule in triangle ACE,
tan37° = [tex]\frac{h}{b}[/tex]
b = [tex]\frac{h}{\text{tan}37}[/tex]
b = [tex]\frac{4.8}{1.0724}[/tex]
b = 6.37 m
Now apply the tangent in triangle ABE,
tan27° = [tex]\frac{h}{a}[/tex]
a = [tex]\frac{h}{\text{tan}27}[/tex]
a = [tex]\frac{4.8}{0.5095}[/tex]
a = 9.42 m
