NEED ASAP! (picture included) A surveyor wants to find the width of the pond. She placed stakes at points A, B, and C. She knows
that ΔABC is a right triangle. If the distance between A and C is 75 feet and the distance between B and C is 63 feet, what is the width of the pond between points A and B? A. 12.2 feet B. 40.7 feet C. 54.5 feet D. 97.9 feet
1 answer:
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Answer:
<u>x = 60°</u>
Step-by-step explanation:
The rest of the question is the attached figure.
And it is required to find the angle x.
As shown, a rhombus inside a regular hexagon.
The regular hexagon have 6 congruent angles, and the sum of the interior angles is 720°
So, the measure of one angle of the regular hexagon = 720/6 = 120°
The rhombus have 2 obtuse angles and 2 acute angles.
one of the obtuse angles of the rhombus is the same angle of the regular hexagon.
So, the measure of each acute angle of the rhombus = 180 - 120 = 60°
So, the measure of each acute angle of the rhombus + the measure of angle x = the measure of one angle of the regular hexagon.
So,
60 + x = 120
x = 120 - 60 = 60°
<u>So, the measure of the angle x = 60°</u>
