Question

A string is connecting the corner of a square

Answer 1

Answer:

Length of the string is $18.7820 ft$.

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,

                                          $cos$(∠$CAB$) $= \frac{AB}{AC}$

                                          $\cos\ (37) = \frac{15}{AC}$

                                                 $AC= \frac{15}{cos(37)}$

                                                  $AC=\frac{15}{0.798635}$

                                                  $AC=18.7820 ft$

Hence, Length of the string is $18.7820 ft$.