Answer:
The measure of x=[tex]11.35^{\circ}[/tex]
Step-by-step explanation:
We are given that
Height of tower=200ft
Distance between two boats=250 ft
From given figure
[tex]\frac{perpendicular\;side}{base}=tan\theta[/tex]
[tex]\frac{200}{base}=tan15^{\circ}[/tex]
[tex]base=\frac{200}{tan15^{\circ}}=746.55 ft[/tex]
Again ,
[tex]\frac{200}{746.55+250}=tan x[/tex]
[tex]\frac{200}{996.55}=tan x[/tex]
[tex]x=tan^{-1}(0.20069)=11.35^{\circ}[/tex]
Hence, the measure of x=[tex]11.35^{\circ}[/tex]
