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.

Question

asked Jun 21, 2021 171k views

1 Answer

Eydrian · Answer 1 · 2021-06-28T02:32:38+0000

Answer:

26.5 ft

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:

(x)/(sin(103)) = (22)/(sin(54))

Multiply both sides by sin(103)

(x)/(sin(103))*sin(103) = (22)/(sin(54))*sin(103)

x = (22*sin(103))/(sin(54))

x = 26.5 ft (nearest tenth)

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