Question:
A rocket rising vertically is tracked by a radar 5 miles from the launchpad. How fast is the rocket rising when it is at an altitude of 5 miles and the distance between the rocket and the radar is increasing at 2500 miles per hour?
![](https://static.wixstatic.com/media/20c892_56962e07298c4acc819bda89aeb06236~mv2.png/v1/fill/w_980,h_360,al_c,q_85,usm_0.66_1.00_0.01,enc_auto/20c892_56962e07298c4acc819bda89aeb06236~mv2.png)
Answer:
Using the triangle ABC (and the fact that it is a right triangle), we see that:
![](https://static.wixstatic.com/media/20c892_eec3c9df33264b5c998fb07bdd7118a0~mv2.png/v1/fill/w_980,h_749,al_c,q_90,usm_0.66_1.00_0.01,enc_auto/20c892_eec3c9df33264b5c998fb07bdd7118a0~mv2.png)
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