Question

*I need help with this, and please explain how you got the answer*

Grace is standing 14 feet from a lighthouse and Kelly is standing 12 feet from Grace. The angle that Grace looks up to see the top of the lighthouse is 45°. The angle that Kelly looks up to see the top of the lighthouse is y°.




Find the height, h, of the lighthouse.

Find the angle, rounded to the nearest tenth of a degree, in which Kelly looks up to the top of the lighthouse.

To the nearest tenth of a degree, find the value of x° . In two or more sentences, explain your calculations

Answer 1

\[\frac{ h }{ 14 }=\tan 45=1,h=14 ft.\]

Answer 2

\[\frac{ h }{ 14+12 }=\tan y,\frac{ 14 }{ 26 }=\tan y,y=\tan^{-1} \left( \frac{ 7 }{ 13 } \right)=28.3~ degree\]

Answer 3

x+y=45
x=?

Answer 4

would it equal 6.7?

Answer 5

x+28.3=45
x=45-28.3=16.7 degree