Finding the Distance of a Ship from Shore A person in asmall boat, offshore from a vertical cliff known to be 100 feetin height, takes a sighting of the top of the cliff. If the angleof elevation is found to be 25°, how far offshore is the boat?

Q: 3. Altitude of a hot air balloon. The angle of depression 0 from a hot air balloon to the recovery…

A: Given the angle of depression is 33 Let the height of the balloon above the valley floor is x ft.

Q: Suppose you know that a building has a height of 540 feet and when you stand a distance away from…

A:

Q: A temporary support for an architectural feature is positioned 2 feet away from a wall and forms…

A: Use height and distant concept

Q: Steps are being attached to a deck, as shown in the figure to the right. The bottom of the steps…

A: Topic   -  trigonometry

Q: You stand 50 inches from the base of the lamp post with a height of 130 inches. Find the angle of…

A: Given base is 50 inches from you andheight of lamp post is 130 inchesWe need to find angle of…

Q: 4. A fire hose stretches from the ground to a window with an angle of elevation measuring 45 degree.…

A: Draw a schematic diagram of give question.

Q: Yandel will place a ramp over a set of stairs at the backyard entrance so that one end is 7 feet off…

A: one end of the ramp is 7 feet off the groundother end is horizontal distance of 40 feet awayeach…

Q: A hiker at the top of a 462-ft mountain measures the angle of depression from the top of a mountain…

A: NOTE: Refresh your page if you can't see any equations. . here we have AB=462 C=5 BC=x

Q: Example Stem: Donna wants to calculate the height of a tree. She makes the following measurements.…

A: To calculate the height of the tree.

Q: The shadow of a tree measures 25 feet from its base..T How tall is the tree? 31° 25 ft

A:

Q: A dead tree is very close to your house and you would like to estimate the tree's height to see if…

A: A dead tree is very close to your house .If the height of the tree is greater than the length of the…

Q: In building a tent, Jada ties a rope from the top of a pole 3 meters high to a stake that is 4…

A:

Q: An ant looks up at a UFO at an angle of elevation of 23 degrees. The ant noticed that the shadow of…

A:

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.