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3 years ago

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Eric is looking up at an object. eric points one arm at the object and the other arm at aaron. the angle formed by his outstretc

hed arms measures 50 degrees. Aaron is also looking up at the object. He points one arm at the object and the other arm at eric. the angle formed by his outstreatched arms measures35 degrees. the distance between the two men is 80 feet. which of the following best represents the distance between eric and the object?
A. 46.1 ft
B. 49.3 ft
C. 52.6 ft
D. 42.4 ft

Use law of sines and please show work. need ASAP

1 answer:

elixir [45]3 years ago

8 0

Answer:

A. 46.1 ft

Step-by-step explanation:

You need to look at this scenario as a triangle, with the object, Eric and Aaron being 3 different points.

<u>Refer to the attached image for clarity.</u>

To solve this, we will use the Sine Rule.

To apply this, we need to know two angles that correspond to the side of the triangle opposite of them, and the length of those to sides.

<h3><u>Finding the unknown angle</u></h3>

The sum of a triangle is 180 degree, and we can subtract the value of the known two angles from this to obtain the value of the unknown angle (A)

180 - 35 - 50 = 95 degree

<h3><u>Apply Sine Rule</u></h3>

To solve for the distance between Eric and the Object, we will apply this as follows:

Sine A / a = Sine C / c

<em>Note: We are using the angle C because the corresponding angle directly opposite is the side of the triangle we need to find</em>

Sine 95 / 80 = Sine 35 / c

Rearrange the equation

c = Sine 35 x 80 / Sine 95

c = 46.06

c ~ 46.1 ft

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