Question

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Answer 1

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 = $\frac{h}{c}$

c = $\frac{h}{\text{tan}47}$

c = $\frac{4.8}{\text{tan}47}$

c = 4.476

c ≈ 4.48 m

Now we apply the same rule in triangle ACE,

tan37° = $\frac{h}{b}$

b = $\frac{h}{\text{tan}37}$

b = $\frac{4.8}{1.0724}$

b = 6.37 m

Now apply the tangent in triangle ABE,

tan27° = $\frac{h}{a}$

a = $\frac{h}{\text{tan}27}$

a = $\frac{4.8}{0.5095}$

a = 9.42 m