the line-of-sight distance from the television camera to the base of the stadium is 1449.28 m .
Explanation:
A blimp provides aerial television views of a baseball game. The television camera sights the stadium at a 12° angle of depression. The altitude of the blimp is 300 m. We need to find What is the line-of-sight distance from the television camera to the base of the stadium . Let's find out:
According to question , given scenario is in a right angle triangle where
, where x is angle of depression.
We know that
![sinx= (Perpendicular)/(Hypotenuse)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ckduh7fjvab8zfui57tqfzfnu3x02njm7e.png)
⇒
![sin12= (300)/(Hypotenuse)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/molif1u6px31jp3wsxkc2hevzqjtpei2fg.png)
⇒
![Hypotenuse= (300)/(Sin12)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/8a3qfjjnqmycwoebvb9tgkdey4wt9981dj.png)
⇒
![Hypotenuse= (300)/(0.207)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/oirbazszk1ehf5g5ytn3n3631jdokkv7ed.png)
⇒
![Hypotenuse= 1449.28m](https://img.qammunity.org/2021/formulas/mathematics/middle-school/myzfl35wfbp3iq1tgutfem8u066omr5ejd.png)
Therefore , the line-of-sight distance from the television camera to the base of the stadium is 1449.28 m .