Question

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Answer 1

1). a = 9.42 m

2). b = 6.37 m

3). c = 4.48 m

Explanation:

In the figure attached,

By applying tangent rule in triangle ADE,

tan47 =
`(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° =
`(h)/(b)`

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

b =
`(4.8)/(1.0724)`

b = 6.37 m

Now apply the tangent in triangle ABE,

tan27° =
`(h)/(a)`

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

a =
`(4.8)/(0.5095)`

a = 9.42 m