Question

♡ 1 point Given the area factor of 19.16 for a cylinder, what would the scale factor be? Round Type your answer... 10 1 point Lucy's cat climbed onto a tree branch that is 15.4 feet above the ground. The only ladder L what angle must the ladder make with the ground? Round to one decimal place. 2 Type your answer... 11 1 point 4 Find the trig ratio for tan(B)?

Answer 1

10)

Given data:

The given height of the tree branch is h=15.4 ft.

The length of the ladder is l=18 ft.

The expression for the angle made by the ladder with horizontal is,

`\begin{gathered} \sin \theta=(h)/(l) \\ \sin \theta=(15.4)/(18) \\ \theta=58.82^(\circ) \end{gathered}`

Thus, the angle made by the ladder with horizontal is 58.82 degrees.

11)

Given data:

The given triangle.

The tanB is,

`\begin{gathered} \sin B=(5)/(12) \\ B=24.62^(\circ) \end{gathered}`

The tanB is,

`\begin{gathered} \tan B=\tan 24.62^(\circ) \\ =0.458 \end{gathered}`

Thus, the value of tanB is 0.458.