Given an angle in standard position, what is the measure of the angle of elevation from point l to point j if the correct value is $37°$?

• A. $137°$
• B. $37°$
• C. $45°$
• D. $53°$

Answer: (B)

Verified step by step guidance

1. Step 1: Understand that the angle of elevation is the angle formed between the horizontal line from the observer's eye (point l) and the line of sight to the object (point j) above the horizontal.
2. Step 2: Recognize that the problem gives an angle in standard position, which means the angle is measured counterclockwise from the positive x-axis to the terminal side of the angle.
3. Step 3: Note that the given angle is 137° in standard position. Since angles of elevation are measured from the horizontal upward, we need to find the acute angle between the terminal side of the 137° angle and the horizontal axis.
4. Step 4: Calculate the angle of elevation by subtracting 137° from 180°, because 180° represents the straight line along the negative x-axis, and the angle of elevation is the smaller angle between the terminal side and the horizontal line.
5. Step 5: The result from step 4 gives the measure of the angle of elevation from point l to point j, which corresponds to one of the provided answer choices.