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To the nearest whole number what is the distance across the lake?

To the nearest whole number what is the distance across the lake?-example-1
User Luvieere
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x=296 yd

STEP - BY - STEP EXPLANATION

What to find?

The value of x.

Given:

From the above figure;

side a=x

angle A = 70 degree.

side b = 245 yd

side c = 270 yd

Since , we have just one angle, we will use the cosine formula below:


a^2=b^2+c^2-2bc\cos A

Substitute the values into the formula.


x^2=245^2+270^2-2(245)(270)\cos 70\degree
x^2=60025+72900-132300\cos 70\degree
x^2=132925-45249.264962
x^2=87675.735038

Take the square root of both-side of the equation.


x\approx296

Therefore, the distance across the lake is 296yd.

To the nearest whole number what is the distance across the lake?-example-1
User Sascuash
by
8.4k points

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