Answer:
The angle of depression between the cliff and the boat is
Step-by-step explanation:
Given:
Base width of the cliff=175 foot
Height of the cliff= 200 foot= 200 foot
To Find:
The angle of depression between the cliff and the boat=?
Solution:
Angle of Depression
The angle below horizontal that an observer must look to see an object that is lower than the observer.The angle of depression is congruent to the angle of elevation
![tan( y )= \frac{opposite}{adjacent}](https://tex.z-dn.net/?f=tan%28%20y%20%29%3D%20%5Cfrac%7Bopposite%7D%7Badjacent%7D)
Substituting the values,
![tan( y )= \frac{200}{175}](https://tex.z-dn.net/?f=tan%28%20y%20%29%3D%20%5Cfrac%7B200%7D%7B175%7D)
![tan( y )= 1.14](https://tex.z-dn.net/?f=tan%28%20y%20%29%3D%201.14)
![y= tan^{-1}(1.14)](https://tex.z-dn.net/?f=y%3D%20tan%5E%7B-1%7D%281.14%29)
![y=48.8141^\circ](https://tex.z-dn.net/?f=y%3D48.8141%5E%5Ccirc)
For 4 4 to 5 16 to 20 24 to 30
The grinch mountain was the answer
Answer: 32
Step-by-step explanation:
Given: The energy needed for 1 hour of running for an adult ![=4.5\times10^6\ joules.](https://tex.z-dn.net/?f=%3D4.5%5Ctimes10%5E6%5C%20joules.)
Therefore. the energy needed for seven hours of running=![=7\times4.5\times10^6\ joules.=31.5\times10^6\ joules](https://tex.z-dn.net/?f=%3D7%5Ctimes4.5%5Ctimes10%5E6%5C%20joules.%3D31.5%5Ctimes10%5E6%5C%20joules)
Since, he energy released by metabolism of 1 average candy bar ![=1\times10^6\ joules.](https://tex.z-dn.net/?f=%3D1%5Ctimes10%5E6%5C%20joules.)
Therefore, the number of candy bars an adult need to eat to supply the energy needed for seven hours of running.=![\frac{31.5\times10^6}{1\times10^6}=31.5\approx32](https://tex.z-dn.net/?f=%5Cfrac%7B31.5%5Ctimes10%5E6%7D%7B1%5Ctimes10%5E6%7D%3D31.5%5Capprox32)
Hence, the adult need to eat 32 candies to supply the energy needed for seven hours of running.