scientist watches a rocket rising vertically off the ground from a point that is 150 meters away on level ground. How fast is the rocket's angle of elevation increasing when the angle of elevation is 30 degrees if the rocket has attained a speed of 25m/sec at this time?

Q: Suppose the wheel of Dan’s bike is 70cm in diameter. It’s turning at a rate of 50 revolutions per…

A: In this question we have to find the linear speed in cm per minute.

Q: A tall pipe is 30 feet tall. A person with a height of 6 feet walks away from the pipe along a…

A: The objective of this question is to find the rate at which the person is moving away from the pipe.…

Q: The altitude of the right triangle is increasing at the rate 1 unit per second, while the other…

A: Given that the base and the height remain constant and that the altitude of the right triangle is…

Q: raveling due north at 570 mi/hr. Assuming both airliners maintain their (equal) elevations, how fast…

A: In this question, the concept of the derivative is applied to calculate the rate of change.…

Q: The altitude of a triangle is increasing at a rate of 1 centimeters/minute while the area of the…

A: Given that  the altitude of a triangle increases at the rate of 1 cm/min while the area of the…

Q: The altitude of a triangle is increasing at a rate of 1 centimeters/minute while the area of the…

A: Given- The altitude of  a triangle is increasing at a rate of 1 cm/min. and the area of the triangle…

Q: A hot air balloon rising upwards is noticed by an observer who is 4 miles from where it is released.…

A: Given that a hot air balloon is rising vertically and being tracked by an observer located 4 miles…

Q: The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the…

A: Find the base where area and altitude is already given, then the formula of the area of a triangle…

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.