Question

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A blimp provides aerial television views of a soccer game. The television camera sights the stadium at a 6° angle of depression. The altitude of the
blimpis 400m. What is the line-of-sight distance from the television camera to the base of the stadium? Round to the nearest hundred meters.

Answer 1

The line-of-sight distance from the television camera to the case of the stadium is
`\text{x = 3826.71 m}`

Given data

From Δ ABC

AB = The altitude of the blimp is = 400 m

AC = The line-of-sight distance from the television camera to the case of the stadium = x

Now

`\text{sin} \ 6=\frac{\text{AB}}{\text{AC}}`

`x=\frac{\text{AB}}{\text{sin} \ 6}`

`x=\frac{400}{\text{sin} \ 6}`

`\bold{x = 3826.71 \ m}`

Therefore the line-of-sight distance from the television camera to the case of the stadium.