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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.

Respuesta :

MrRoyal

Answer:

107

Step-by-step 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.

[tex]\frac{a}{\sin A} = \frac{b}{\sin B} =\frac{c}{\sin C}[/tex]

In this case:

[tex]x = ??[/tex]

[tex]X = 68[/tex]

[tex]a = 66[/tex]

[tex]A = 35[/tex]

So, we have:

[tex]\frac{x}{\sin 68} = \frac{66}{\sin 35}[/tex]

Make x the subject

[tex]x = \frac{66}{\sin 35} * \sin 68[/tex]

Using a calculator, we have:

[tex]x = \frac{66}{0.5736} * 0.9272[/tex]

[tex]x = 115.063* 0.9272[/tex]

[tex]x = 106.68[/tex]

[tex]x \approx 107[/tex]

Ver imagen MrRoyal

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