Respuesta :
Imagine you have a right triangle. Weather balloon meteorologist /_I ground Now they give you the bottom left angle to be 41 degrees and they give you the hypotenuse to be 1503 meters. Now what you're looking for is the length of the leg between the ground and the balloon. For this you need to use a sin function because with the angle you're given, you're looking for the opposite side and are given the hypotenuse. I'm assuming you know what I'm talking about. So your equation looks like this sin(41) = x/1,503 Now just multiply both sides by 1503 1503sin(41) = x Plug this into a calculator to get an answer of approximately 986.057 meters or rounded 986 meters
The radio signal as a balloon is 986.05m high above the ground .
Given that,
Measures the angle of elevation of weather balloon as a radio signal 41degree.
And radio signal from the balloons indicates that it is 1503m from his location.
We have to find,
The nearest meter, how high above the ground is the balloon.
According to the question,
We can represent as right triangle where we can use basic trigonometric functions.
We have largest side (hypothenuse) of the triangle and one angle.
The angle we got is the one between side of triangle that is horizontal with the ground and the hypothenuse, meaning that sin function to connect relation between angle, known side length and unknown side length.
Then,
sin∝ = (side of triangle opposite from observed angle) ÷ (hypothenuse)
sin(41°) = [tex]\frac{x}{1503}[/tex]
Where, sin41° = 0.65
x = (1503)× sin41° = (1503).(0.65) =986.06 meters.
Hence, The balloon is 986.05m high above the ground .
For more information about Equation of Motion click the link given below.
https://brainly.com/question/14355103
