2.6 79.0° 40.0 ft Figure 1

Q: Julia lies down on the grass in a park and begins reading a book. She is 30 meters away from the…

A: let AB be the TreeThen tan 35°=ABBCtan 35°=AB30

Q: A 48-foot building casts a shadow 72 feet measured along the ground. What is the angle of the sun's…

A: 3.1 :

Q: The angle of depression from one side of a lake, measured from a kite 2500 ft. above the lake is 43…

A: Given : The angle of depression from one side of a lake, measured from a kite 2500 ft. above the…

Q: boat is heading towards a lighthouse, where Faith is watching from a vertical distance of 105 feet…

A:

Q: As shown in the figure, Kaitlin is standing 24 feet from the base of a leaning tree. The length of…

A:

Q: On a recent bike ride, Juliana saw a tall flagpole and its 35 ft. long shadow. The angle of…

A: length of the shadow, l=35 ftThe angle of elevation of sun, θ=48°

Q: Sighting the top of a building, a surveyor measured the angle of elevation tobe 22°. The transit is…

A:

Q: A forest ranger looking out from a ranger's station can see a forest fire at a 35 degree angle of…

A: A forest ranger looking a forest fire at 35 degree angle of depression.

Q: Diego and jonathan are on a hiking expedition. Jonathan is a certain distance ahead of Diego when…

A: To find the distance between jonathan and diego

Q: A surveyor is 100 meters from a bridge. The angle of elevation to the top of the bridge is 35°. The…

A:

Q: Kim is watching a fireworks display from an observation spot 5 miles away. Find the angle of…

A: Solve the following

Q: A hot-air balloon is 7800 feet above a highway intersection. The distance from the intersection to…

A:

Q: Height of a Building The angle of elevation to the top of theEmpire State Building in New York is…

A: Suppose that: The height of the Empire State Building = x                         Note: 1 mi = 5280…

Q: A helicopter hovers 1000 feet above a small island. The figure shows that the angle of depression…

A:

Q: QI. A ladder is placed against a wall such that it reaches the top of the wall of height 6 m and the…

A: A ladder is placed against the wall of 6m height and the ladder is inclined at the angle of 60…

Q: A little old man sailing his boat to get to the island. The Line of sight from the island to the…

A: Here we find the height of island.

Q: As shown in the figure below, Jane is standing 91 feet from the base of a leaning tree. The tree is…

A:

Q: George is flying a kite. The kite is directly over a picnic table which is 5 m away from George. The…

A:

Q: A certain flagpole that is 290 feet tall casts a shadow 144 feet long. Find the angle of elevation…

A: As given,          flagpole height = 290 feet.          shadow is 144 feet long. this looks like…

Q: A telephone pole is 60 feet tall. A guy wire 75 feet long is attached from the ground to the top of…

A: The telephone pole is 60 feet tall. A guy were 75 feet long is attached from the ground to the top…

Q: A helicopter hovers 1000 feet above a small island. The figure shows that the angle of depression…

A: Given: here, we have to find value of d we know that in triangle angle at p will be 36∘ and in…

Q: Mariela is standing in a building and looking out of a window at a tree. The tree is 20 feet away…

A:

Q: A kite string is 200 meters long. Find the height of the kite if the string makes an angle of…

A:

Q: Angle of Elevation A man standing near a radio station antenna observes that theangle of elevation…

A: Given: A man standing near a  radio station antenna observes that the angle of elevation to the top…

Q: A road rises vertically 45 feet over a horizontal distance of 750 feet. What is the angle of…

A:

Q: An electrician is on the top of 150 feet inclined building. He spots a piece of wire 30 feet away…

A: Making a figure for the given information, where A is the base of the building, B is the electrician…

Q: A 155-foot tall antenna has 4 guy-wires connected to the top of the antenna, and each guy-wire is…

A:

Q: 5. An observer at the top of a 462-ft cliff measures the angle of depression from the top of a cliff…

A: The height of a cliff is AB=462 ft. An angle of depression ∠DAC=5∘ From the figure ∠DAC=∠ACB=5∘ (…

Q: With the sun, a girl 1.4 m tall casts a 3.6 m shadow. Find the angle of elevation from the tip of…

A: The objective of the question is determine the angle of elevation and choose the correct option.…

Q: A water tower is located x:300 ft from a building. From a window in the building an observer notes…

A:

Q: A truck travels 12 km up a mountain road. The change in height from the bottom to the top is 732 m.…

A: topic - trigonometric ratios

Q: 2. In the morning, you find that a building casts a 300 foot shadow to the west. The angle of…

A:

Q: Height of a Building A man standing on the roof of a building 60.0 feet high looksdown to the…

A: Let AB = First building, CD = building next door and BD = distance between them.

Q: A ranger is at the top of a 200 foot lookout tower located on a flat plain. She spots a fire at an…

A:

Q: From a point A the angle of elevation of a mountain is 14.3 degrees, and from a point B, directly…

A: From the given information, we have to find the height of the mountain.

Q: A helicopter hovers 850 feet above a small island. The 50° figure shows that the angle of depression…

A:

Q: 8. CN Tower The highest free-standing tower in North Americais the CN Tower in Toronto, Canada. From…

A: We draw a figure that represents the situation as

Q: To estimate the height of a mountain, two students find the angle of elevation from a point (at…

A: Let,H=height of mountain in metersDraw the figure,

Q: Mariela is standing in a building and looking out of a window at a tree. The tree is 20 feet away…

A: Given:

Q: Length of a Guy Wire A communications tower is located at the top of a steep hill, as shown. The…

A: Given : The angle of inclination of the hill is 58°. A guy wire is to be attached to the top of the…

Q: A surveyor who is measuring the tallest tree in a park is 175 ft from the tree. His angle-measuring…

A:

Q: ovan is a firefighter who has been called to rescue a cat that is stuck in a tree. He has a 25-foot…

A:

Q: A tower is 1941 feet tall. The angle of elevation from the base of an office building to the top of…

A: a. The diagram can be drawn as follows: Consider the distance between the office building from the…

Q: Snickers the monkey wants to find the height of his tree. From a given point on the ground he finds…

A:

Q: own in the figure below, Laura is standing 51 feet from the base of a leaning tree. The length of…

A: Given, Angle of elevation of the laura to the top of the tree = 67o  Distance between base of tree…

Q: A boat is heading towards a lighthouse, where Easton is watching from a vertical distance of 115…

A:

Q: Karla is riding vertically in a hot air balloon, directly over a point P on the ground. Karla spots…

A: Topic:- Trigonometric ratios  409.83 m far is the car from point P.

Q: Angle of Elevation From a point on the ground, a person notices that a 110-footantenna on the top of…

A: Given Angle of Elevation From a point on the ground, a person notices that a 110-foot antenna on the…

Q: A jet takes off at a 15 degree angle of elevation. The jet's air speed is 300 ft/sec. How far did…

A:

Q: An aerial tram starts at a point one half mile from the base of a mountain whose face has a 60°…

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.