A blimp provides aerial television views of a football game. The television camera sights the stadium at a 7degrees angleof depression. The altitude of the blim is 400 meters. Which of the following is the line-of-sight distance from the television camera to the base of the stadium? Round to the nearest meter.
403m
3,257m
3,282m
4,500m

Question

A blimp provides aerial television views of a football game. The television camera sights the stadium at a 7degrees angleof depression. The altitude of the blim is 400 meters. Which of the following is the line-of-sight distance from the television camera to the base of the stadium? Round to the nearest meter.
403m
3,257m
3,282m
4,500m

nuttyliaczar · Answer

Using what we know, you can make a right triangle and solve for the hypotenuse

daggiemib · Answer

cos(7)=400/x

daggiemib · Answer

the calculator said no solution

nuttyliaczar · Answer

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nuttyliaczar · Answer

You should use the 83 degrees instead, since the 7 is just there to tell us what the angle for the relevant triangle is

nuttyliaczar · Answer

$$\cos \theta=adjacent/hypotenuse$$

daggiemib · Answer

all my calculators arent working

nuttyliaczar · Answer

You get 3282m when you do $$hypotenuse=adjacent/\cos \theta$$

anonymous · Answer

try evaluating the cosine of the angle and then solving

nuttyliaczar · Answer

I figured that giving the answer after knowing that much wasn't too much

daggiemib · Answer

no i get it thank you

nuttyliaczar · Answer

And if you're ever confused about which angle, think about what values cosine takes with different angles

nuttyliaczar · Answer

If you have a really slim angle of depression like here, your cosine value will be really tiny

nuttyliaczar · Answer

And likewise, if your angle of depression was almost 90, it would be close to 1