Answer:
Length of the string is [tex]18.7820 ft[/tex].
Step-by-step explanation:
Diagram of the given scenario shown below,
Given that,
Angle of elevation from the point on the ground to the corner of the canopy is 37°.Distance of the corner of a square canopy to a point on the ground is 15 ft.
To find:- Find the length of the string.
So,
Length of string = AC
Length of Base = AB
angle of elevation = ∠CAB
Here, In Triangle ΔABC,
[tex]cos[/tex](∠[tex]CAB[/tex]) [tex]= \frac{AB}{AC}[/tex]
[tex]\cos\ (37) = \frac{15}{AC}[/tex]
[tex]AC= \frac{15}{cos(37)}[/tex]
[tex]AC=\frac{15}{0.798635}[/tex]
[tex]AC=18.7820 ft[/tex]
Hence, Length of the string is [tex]18.7820 ft[/tex].
