Two contestants on the reality show, Naked and Afraid, were looking for safe ground to make a shelter. They reach the top of a ridge and look down at the trail behind them. In the distance, they can see where they were dropped off by producers. By using a small device called a clinometer, they're able to measure the angle between their horizontal line of sight and the dropoff point as 37° and they know that the hill they just hiked up has a height of 300 yards. How far away have they travelled?

Q: As you may remember, the Ferris wheel at the amusement park where Al and Betty like to ride has a…

A: It is required to find the percentage of time Al and Betty is above the height of fence.

Q: An ameteur photographer wants to set up is camera to view the sunrise coming over the mountain and…

A:

Q: It is 58 road miles from Denver to the Eisenhower tunnel. Denver is 5882 ft above sea level. The…

A: The distance between Denver to the Eisenhower Tunnel is 58 milesDenver is 5882 ft above mean sea…

Q: A six foot man is standing 80 feet away from a building.  He looks up at a 30° angle to see the top…

A:

Q: Mo is on a baseball team and hears that a ball thrown at a 44 degree angle from the ground will…

A: Given, Mo is on a baseball team and hears that a ball thrown at a 44 degree angle from the ground…

Q: You should be able to answer this question after studying Unit 5. A mountain rescue team is…

A:

Q: From Point S, Samantha uses a clinometer to determine the angle of elevation to the top of the cliff…

A:

Q: While shopping at his local home improvement store, Chen noticed that the directions for an xtension…

A: To find the length of ladder  The figure is

Q: An architect is designing a two-story house that is located at 40°N latitude. The architect wants to…

A: How much roof overhang should the architect provide so that at noon on the day of the summer…

Q: What is the relationship between the degree measure and theradian measure of an angle?

A: Relationship between degree and radian is given below. 1 radian=180π degrees. To convert radian into…

Q: I was in Sydney in 2003 and, while walking across the Sydney Harbour Bridge,  I took this photo of…

A:

Q: 1. In order to measure the height of the ride Chaos at ValleyFair, Matt stands 25 m from the bottom…

A:

Q: Doc Brown (from Back To The Future) has jumped back in time again to 1955 to witness Marty McFly…

A: This question can be solved using the concept of HEIGHT AND DISTANCE.

Q: A man is 550 feet from the base of a very tall building. The building is standing on a large flat…

A: We sketch the situation roughly. Let the height of the building is = h feet

Q: What is the distance from the car to the base of the building?

A: Using trigonometric ratios, we can solve the question

Q: There are two lifeguard stations along the shoreline. Station B is 50 meters east of station A. A…

A: Given data: The distance between both stations is AB =50 m. The angle made by a swimmer with station…

Q: Jack and Jill were on the same side of a hill but were 34 m apart. Both were lying on the ground…

A: Let the height of the peak of the hill be h . Let the distance BL be x . Use the tangent ratio in…

Q: A tree in Daniel's yard died and he's worried it might fall and hit the house if left alone. He…

A: SOLUTION-

Q: Tamara wants to calculate the height of a tree outside her home. Using her clinometer, she measures…

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.