Given:
Height of the lighthouse = 280 feet
The angle of depression from the top of the lighthouse to a ship = 18°.
To find:
The distance between boat and shore.
Solution:
Draw a diagram by using the given information.
In a right angle triangle,
![\tan \theta=\dfrac{Perpendicular}{Base}](https://tex.z-dn.net/?f=%5Ctan%20%5Ctheta%3D%5Cdfrac%7BPerpendicular%7D%7BBase%7D)
In triangle ABC,
![\tan C=\dfrac{AB}{BC}](https://tex.z-dn.net/?f=%5Ctan%20C%3D%5Cdfrac%7BAB%7D%7BBC%7D)
![\tan 18^\circ=\dfrac{280}{BC}](https://tex.z-dn.net/?f=%5Ctan%2018%5E%5Ccirc%3D%5Cdfrac%7B280%7D%7BBC%7D)
![BC=\dfrac{280}{\tan 18^\circ}](https://tex.z-dn.net/?f=BC%3D%5Cdfrac%7B280%7D%7B%5Ctan%2018%5E%5Ccirc%7D)
Using a calculator, we get
![BC=\dfrac{280}{0.3249}](https://tex.z-dn.net/?f=BC%3D%5Cdfrac%7B280%7D%7B0.3249%7D)
![BC=861.80363...](https://tex.z-dn.net/?f=BC%3D861.80363...)
![BC\approx 862](https://tex.z-dn.net/?f=BC%5Capprox%20862)
Therefore, the boat is 862 feet away from shore.
Answer:
5,8 or 8,5
Step-by-step explanation:
A arcade game gives 8 tickets this = y
For every 5 game played this = x
so we can make the assumption that every 5 games played he gets 8 tickets you can write this as 5,8 or. Every 5 game played is 8 tickets.
Answer:
95/12 as an improper fraction.
Answer:
The image below shows the equation x - 2y = 6 being graphed.
Hope this helps! :)