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Alexeev081 [22]
3 years ago
7

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.

Mathematics
1 answer:
Oxana [17]3 years ago
6 0

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.

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