Question

Please help!!!!
A triangular patch of grass in a park is bordered by walking paths. The longest path bordering the patch of grass measures 135 feet. The smallest path bordering the patch of grass measures 60 feet. The smallest angle formed by the paths measures 26°. What is the measure of the largest angle of the triangular patch of grass? Round your answer to the nearest degree. Show all your work.

Answer 1

The measure of the largest angle of the triangular patch of grass is 81 degrees

Application of sine rule

In order to determine the measure of the largest angle, we will use the expression below;

$\frac{60}{sin26^0} =\frac{135}{sinx^0}$

Cross multiply

135sin26 = 60sinx

sinx = 135sin26/60

sinx = 59.18/60
sinx = 0.986

x = 80.5 degrees

Hence the measure of the largest angle of the triangular patch of grass is 81 degrees

Learn more sine rule here; https://brainly.com/question/27174058

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