1.) A meteorologist measures the angle of depression of a weather balloon as 53° . A radio signal from the balloon indicates that it is 1680 feet from his receiver. How high is the weather balloon from the ground? (3 points)
Word bank: 53, x, 1680
To solve this problem, we can use trigonometry. The angle of depression is the angle formed between the horizontal line of sight and the line of sight to the object below it. In this case, we have a right triangle where the angle of depression is 53°, the distance from the receiver to the weather balloon is 1680 feet, and we need to find the height of the weather balloon from the ground.
Let x be the height of the weather balloon from the ground. Using the tangent function, we can set up the following equation:
tan(53°) = x/1680
Now, we can solve for x:
x = 1680 * tan(53°)
x = 1680 * 1.327
x = 2230.16 feet
Therefore, the weather balloon is approximately 2230.16 feet high from the ground.
Theres 3 blanks and I need to put each of the words in a different blank
To clarify, the words "53", "x", and "1680" should be placed into the respective blanks in the sentence.
1.) A meteorologist measures the angle of depression of a weather balloon as ____ degrees. A radio signal from the balloon indicates that it is ____ feet from his receiver. How high is the weather balloon from the ground? (3 points)