The Triangle sum theorem states that the sum measures of the interior angles of a triangle is 180 degree
<em><u>Solution:</u></em>
We know that,
The Triangle Sum Theorem states that if you add all three interior angles, those are the angles inside the triangle, they would always add up to 180 degrees.
It is easy to remember that we add the three angle measurements to get 180 degrees because of the word sum in the name of the theorem. To make it short and sweet:
Consider a triangle with interior angles a, b, and c. Then we can say,
The Triangle Sum Theorem is also called the Triangle Angle Sum Theorem or Angle Sum Theorem
Give me a minute. I’m trying to solve
Answer:
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Step-by-step explanation:
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Answer: the distance of the boat from the foot of the lighthouse is 290.5 feet.
Step-by-step explanation:
The right angle triangle ABC representing the scenario is shown in the attached photo.
Angle A is alternate to the angle of depression, hence, they are the same.
The height of the lighthouse represents the opposite side of the right angle triangle. The distance, x of the boat from the foot of the lighthouse represents the adjacent side of the right angle triangle.
To determine x, we would apply
the tangent trigonometric ratio.
Tan θ, = opposite side/adjacent side. Therefore,
Tan 11.1 = 57/x
x = 57/Tan 11.1 = 57/0.1962
x = 290.5 feet to the nearest tenth.
