Right triangle J K L is shown. Line L J has a positive slope. A dotted and horizontal line is drawn to point J to form an angle of 53 degrees.
What is the measure of the angle of elevation from point L to point J?

37°
45°
53°
137°

Respuesta :

The angle formed at J and the angle of elevation at L are alternate angles, such that the angle of elevation is 53°

Which method can be used to find the angle of elevation?

The given parameters are;

Triangle ∆JKL is a right triangle

The slope of the line LJ = Positive

The angle formed by the horizontal line at J = 53°

Required;

The angle of elevation from point L to point J

Solution;

The angle of elevation at L is formed by an horizontal line drawn at L.

The two horizontal lines are parallel, and the angle of elevation at L is the alternate angle to the angle formed by the horizontal line at J.

Given that alternate angles formed between parallel lines having a common transversal are equal, we have;

  • The measure of the angle of elevation at L is the same as the angle formed at J which is 53°

Learn more about angles formed by parallel lines that have a common transversal here:

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Answer:

C. 53 degrees

Step-by-step explanation:

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