Question

Isabella is making a huge flag of her country, the Republic of Seychelles, on a canvas 202020 by 101010 meters long.
To do that, she has to draw a diagonal that begins at the bottom-left corner and ends at the right side of the flag, at a height of 777 meters.
Since the ends of the diagonal 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 of elevation, in degrees, of the diagonal?

Answer 1

Answer:

19.3°  or 35°

Step-by-step explanation:

Canvas size = 20 * 10 m

a diagonal that begins at the bottom-left corner and ends at the right side of the flag, at a height of 7 m

If Width of Flag = 20 m

Then height = 7 m

Angle = α

Tanα = 7/20

=> α = 19.3°

If Width of Flag = 10 m

Then height = 7 m

Angle = β

Tanβ = 7/10

=> β = 35°

Answer 2

Answer: 33.4

Step-by-step explanation:

We are given the side opposite to the missing angle and the side adjacent  to the missing angle. The appropriate trigonometric ratio is therefore the tangent.

Denoting the missing angle by θ, we obtain the equation Tan(θ)= 6.6/10

​Evaluating this result in the calculator and rounding to the nearest tenth, we get θ=33.4

The angle between the diagonal line and the left edge of the flag is 33.4