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The angle of elevation from a sailboat to a point on a lighthouse is 30* as shown in the drawing. What is x, the angle of depression? A. 15*B. 30*C. 60*D. 150*

The angle of elevation from a sailboat to a point on a lighthouse is 30* as shown-example-1
User David Genn
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1 Answer

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17 votes

Given,

The angle of elevation from a sailboat to a point on a lighthouse is 30* as shown in the drawing.

To find: What is x, the angle of depression?

Solution:

From the alternate angle, two angles, are formed when a line crosses two other lines, that lie on opposite sides of the transversal line and on opposite relative sides of the other lines.

If the two lines crossed are parallel, the alternate angles are equal.

Hence, the value of angle x is equal to the angle of 30 degrees.

Thus, the given option (B) is correct.

User Shawnna
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