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Question

arabpride · Answer

A hiker standing at point G wants to estimate the distance across the lake to point H, which is directly north of her location. She walks 700 feet west to point F. She measures the angle from point F to point H to be 78º north of east. Find the distance across the lake to the nearest tenth of a foot.



a.148.8 feet
b.256.9 feet
c.3,293.2 feet
d.62,485.8 feet

arabpride · Answer

@Luigi0210 it's ok if u dont know :P

luigi0210 · Answer

Use $\Large tan~78^○$ to find GH.

whitemonsterbunny17 · Answer

You have $\ GF=700 ft$ 

Just solve $\LARGE tan~78^○ =\frac{GH}{700}$ 
Multiply by 700.

$\LARGE 700(tan~78^○)=GH$

$3,293.241077=GH$

Or 

$\LARGE 3,293.2ft$

~From @Luigi0210~

arabpride · Answer

*O* Thank You!!!!!!!!!!!!!!!!!!!!!!!!!