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

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.