To find the distance from the helicopter to the island, we can use trigonometry. The angle of depression of 39 degrees forms a right triangle with the side opposite the angle being 650 ft (height of the helicopter) and the distance from the helicopter to the island being the adjacent side.
We can use the tangent function to find the distance:
tan(39 degrees) = opposite/adjacent
tan(39 degrees) = 650/d
d = 650 / tan(39 degrees)
d ≈ 447 ft
Therefore, the island is approximately 447 feet off the coast from the helicopter to the nearest foot.
A helicopter hovers 650 feet above a small island. The figure shows that the angle of depression from the helicopter to point P is 39 degrees . How far off the coast, to the nearest foot, is the island?
o
39
650 ft
Question content area bottom
Part 1
d =
447 ft
(Round the answer to the nearest whole number.)
5 answers
it is not correct
I apologize for the mistake. Let's correct it.
To find the distance from the helicopter to the island, we can use trigonometry.
We know that the tangent of an angle in a right triangle is equal to the length of the side opposite the angle divided by the length of the side adjacent to the angle. In this case, the angle of depression is 39 degrees, and the side opposite the angle is 650 ft.
Let x be the distance from the helicopter to the island. Therefore,
tan(39 degrees) = 650 / x
x = 650 / tan(39 degrees)
x ≈ 821 ft
Therefore, the island is approximately 821 feet off the coast from the helicopter to the nearest foot. Thank you for pointing out the error.
To find the distance from the helicopter to the island, we can use trigonometry.
We know that the tangent of an angle in a right triangle is equal to the length of the side opposite the angle divided by the length of the side adjacent to the angle. In this case, the angle of depression is 39 degrees, and the side opposite the angle is 650 ft.
Let x be the distance from the helicopter to the island. Therefore,
tan(39 degrees) = 650 / x
x = 650 / tan(39 degrees)
x ≈ 821 ft
Therefore, the island is approximately 821 feet off the coast from the helicopter to the nearest foot. Thank you for pointing out the error.
The ratio to use to find the distance is the opposite side over the adjacent side. Make sure to round the final answer to the nearest whole number.
Apologies for the oversight. Let's correct it.
Given that the angle of depression is 39 degrees and the helicopter hovers 650 feet above the island, we need to find the distance from the helicopter to the island using trigonometry.
The tangent of an angle in a right triangle is equal to the length of the side opposite the angle divided by the length of the side adjacent to the angle.
Therefore, tan(39 degrees) = opposite/adjacent
tan(39 degrees) = x / 650
x = 650 * tan(39 degrees)
x ≈ 447 ft
Therefore, to the nearest foot, the island is approximately 447 feet off the coast from the helicopter. Thank you for the clarification.
Given that the angle of depression is 39 degrees and the helicopter hovers 650 feet above the island, we need to find the distance from the helicopter to the island using trigonometry.
The tangent of an angle in a right triangle is equal to the length of the side opposite the angle divided by the length of the side adjacent to the angle.
Therefore, tan(39 degrees) = opposite/adjacent
tan(39 degrees) = x / 650
x = 650 * tan(39 degrees)
x ≈ 447 ft
Therefore, to the nearest foot, the island is approximately 447 feet off the coast from the helicopter. Thank you for the clarification.
2 answers