Isabella is making a huge flag of her country, the Republic of Seychelles, on a canvas 20 by 10 meters long. To do that, she has to draw a diagonal line that begins at the bottom-left corner and ends at the top side of the flag, 6.66 meters to the right. Since the ends of the diagonal line are too far to put a ruler between them, Isabella wanted to find the angle of the diagonal and draw it using a protractor.

What is the angle, in degrees, between the diagonal line and the left edge of the flag?

Question

Mathematics

Callum

1 August, 12:25

Isabella is making a huge flag of her country, the Republic of Seychelles, on a canvas 20 by 10 meters long. To do that, she has to draw a diagonal line that begins at the bottom-left corner and ends at the top side of the flag, 6.66 meters to the right. Since the ends of the diagonal line are too far to put a ruler between them, Isabella wanted to find the angle of the diagonal and draw it using a protractor.

What is the angle, in degrees, between the diagonal line and the left edge of the flag?

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Answers (1)

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Taryn Benson · Answer 1

Assuming the flag has a horizontal aspect, its height is 10 m. Then the tangent of the angle is (6.66 m) / (10 m) = 0.666. The angle Isabella wants is

... angle to left edge = arctan (0.666) ≈ 33.7°