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Sagot :
The measure of the angle of the triangular plot at which the surveyor stands is cos–1(0.125) = 83°.
The correct option is B.
Given
A surveyor measures the lengths of the sides of a triangular plot of land.
What is the law of cosine?
The law of cosines signifies the relation between the lengths of sides of a triangle with respect to the cosine of its angle.
If ABC is a triangle, then as per the statement of cosine law;
[tex]\rm CosA= \dfrac{b^2+c^2-a^2}{2bc}[/tex]
Where the measure of the length a is 300, b is 250, and c is 200m.
Substitute all the values in the following formula;
[tex]\rm CosA= \dfrac{b^2+c^2-a^2}{2bc}\\\\\rm CosA= \dfrac{250^2+200^2-300^2}{2\times 250 \times 200}\\\\CosA=\dfrac{62500+40000-90000}{100000}\\\\CosA=\dfrac{12500}{100000}\\\\ CosA=0.0125\\\\A = Cos^{-1}(0.125)\\\\A =83[/tex]
Hence, the measure of the angle of the triangular plot at which the surveyor stands is cos–1(0.125) = 83°.
To know more about the Law of cosine click the link given below.
https://brainly.com/question/17289163
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