The angle of depression from the top of a flag stick to a golf ball on the ground is 24 degrees. If the flagstick is 6 feet tall, how far away is the golf ball from the base of the flag stick
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.
The angle of depression from the top of a flag stick to a golf ball on the ground is 24 degrees. If the flagstick is 6 feet tall, how far away is the golf ball from the base of the flag stick.
Consider that the angle of depression from top of a flag stick to golf ball is and length of flagstick is .
Find the horizontal distance between the golf ball and flagstick.
Plot the diagram.
Let be the height of the flagstick and be the distance of golf ball from the base of the flag stick.
Since angle of depression is the angle between the horizontal line of sight and the object therefore, is the angle of depression.
Since horizontal line of sight and base are parallel and is transveral, and form alternate angles and alternate angles are equal in measure therefore, .
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
