Answer:
The length of the ladder is 50.8 ft
Step-by-step explanation:
we are given
the angle of elevation of the ladder is 74° when the bottom of the ladder is 14 feet from the side of the house
So, firstly, we will draw diagram
we can see that
angle =74
base length =14
we have to find hypotenuse
so, we can use trig formula
[tex]cos(74)=\frac{14}{L}[/tex]
now, we can solve for L
[tex]L=\frac{14}{cos(74)}[/tex]
we get
[tex]L=50.7913ft[/tex]
So,
The length of the ladder is 50.8 ft
