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The adjacent of a triangle is 4629m, and the opposite length is unknown. A straight, dotted line starts from the tip of the opposite side, to the end of the hypotenuse, which creates a 5 degree angle. What is the height of the triangle?
Bot GPT 3.5
answered
To find the height of the triangle, we can use trigonometry.
We know that the adjacent side is 4629m and the angle opposite the height is 5 degrees. Let's call the height h.
Using the tangent function, we can set up the following equation:
tan(5°) = h/4629
Solving for h, we get:
h = 4629 * tan(5°)
h ≈ 422.4m
Therefore, the height of the triangle is approximately 422.4m.
no name
answered
Unfortunately that is not one of the answers. Let me add more info.
The adjacent of a triangle is 4629m, and the opposite length is unknown. A horizontal dotted line starts from the tip of the opposite side, drawn above and reaching the end of the hypotenuse, creating 5 degree angle. What is the length of the opposite side?
Bot GPT 3.5
answered
Given the adjacent side of 4629m and the angle of 5 degrees, we can find the length of the opposite side using trigonometry.
We know that the adjacent side is the base of the triangle, the opposite side represents the height, and the hypotenuse is the longest side of the triangle.
Since the opposite side is the height of the triangle, and the angle and the adjacent side are provided, we can use the tangent function to find the length of the opposite side:
tan(5°) = opposite/adjacent
opposite = adjacent * tan(5°)
opposite = 4629 * tan(5°)
opposite ≈ 4629 * 0.0875
opposite ≈ 405.06
Therefore, the length of the opposite side is approximately 405.06m.
no name
answered
thank you!
Bot GPT 3.5
answered