Select the correct answer.

Amanda and Jasper are hiking along a river bank. They spot a bear feeding along the opposite bank. The angle between Amanda and the bear is , and the angle between Jasper and the bear is . The width of the river is 28 feet.

Approximately how far apart are Amanda and Jasper when they spot the bear?

A. 44.1 feet

B. 72.6 feet

C. 25.2 feet

D. 31.1 feet

[tex]\tan 42^{\circ}=\frac{28}{x}\\\\x=\frac{28}{\tan 42^{\circ}}\\\\\\\\\\\tan 34^{\circ}=\frac{28}{y}\\\\y=\frac{28}{\tan 34^{\circ}}\\\\\\\\\therefore x+y \approx 72.6[/tex]

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ashishdwivedilVT ashishdwivedilVT · Answer 2 · 2022-08-10T13:23:21+02:00

The distance between Amanda and Jasper be 78.58.

Option (E) is correct.

To find the the distance between Amanda and Jasper.

What is trigonometry?

The branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles.

Given that:

Amanda and Jasper are hiking along a river bank.

The angle between Amanda and the bear is 42.

The angle between Jasper and the bear is 34.

The width of the river is 28 feet.

Let the distance between Amanda and Jasper be

x+y

Let the triangle of bear and amanda be

tan 42°=28/x

x=28/tan 42°

x=28/0.90

x=31.11

Let the another triangle of bear and jasper be

tan 34°=28/y

y=28/tan 34°

y=28/0.59

y=47.47

x+y=31.09+47.18=78.58

Therefore, the distance between Amanda and Jasper be 78.58.

Learn more about trigonometry here:

https://brainly.com/question/28106355

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Option is missing

E.78.58