Question

Lisa and Molly are on a bridge and see a tree sticking out of the water. Use the diagram to determine how far away Lisa is from the tree in the water. Use appropriate units.

Answer 1

Answer:

26.5 ft

Step-by-step explanation:

Let the point of the tree sticking out water be represented as S.

Thus, we have ∆LMS.

How far Lisa is from the tree in the water = $\overline{LS}$

Using Sine Rule, find $\overline{LS}$

$\frac{\overline{LS}}{sin(M)} = \frac{\overline{MS}}{sin(L)}$

$\overline{LS} = x$

$\overline{MS} = 22 ft$

$\angle M = 103$

$\angle L = 54$

Plug in the values into the equation

Thus:

$\frac{x}{sin(103)} = \frac{22}{sin(54)}$

Multiply both sides by sin(103)

$\frac{x}{sin(103)}*sin(103) = \frac{22}{sin(54)}*sin(103)$

$x = \frac{22*sin(103)}{sin(54)}$

$x = 26.5 ft$ (nearest tenth)

✅Lisa is 26.5 ft far away from the tree in the water.