Question

Solve It! A search-and-rescue boat

spots a lost hiker on the edge of a

rock shelf. How many feet is the boat

from the hiker? Round to the nearest

whole foot and enter only a number.

Hint: Consider partitioning the

triangle into two right triangles.

Answer 1

107

Explanation:

Given

See attachment for boat and hiker

Required

The distance between the boat and the hiker

To do this, we make of sine rule.

`(a)/(\sin A) = (b)/(\sin B) =(c)/(\sin C)`

In this case:

`x = ??`

`X = 68`

`a = 66`

`A = 35`

So, we have:

`(x)/(\sin 68) = (66)/(\sin 35)`

Make x the subject

`x = (66)/(\sin 35) * \sin 68`

Using a calculator, we have:

`x = (66)/(0.5736) * 0.9272`

`x = 115.063* 0.9272`

`x = 106.68`

`x \approx 107`