Calix' kite is flying above a field at the end of 65 m of spring. If the angle of elevation to the kite measures 70°, and Calix is holding the kite 1.2 m off the ground. How high above the ground is the kite flying?

Q: Mr C is tired. He is leaning against a wall. His feet are 1.88 feet away from the base of the wall.…

A: let height of mr .c is BC

Q: Peter wants to measure the height of a tree. He walks exactly 100 feet from the base of the tree and…

A:

Q: The angle of elevation from the end of 63 ft long shadow to the top of a monument is 40°. To the…

A: The angle of elevation from the end of 63 ft long shadow to the top of a monument is 40°.

Q: A woman is standing on an 85-meter tall cliff.  She spots a boat in the water below at an angle of…

A:

Q: A 300 foot tall monument is located in the distance. From a window in a building a person determines…

A:

Q: Mohal leans a 20-foot ladder against a wall so that it forms an angle of 72° with the ground. How…

A: Given: Height of ladder =20 ft Angle between ground and ladder = 72 To find: How high does ladder…

Q: A 16 ft ladder is leaning against a house. The ladders angle of elevation is 47 degrees. How far…

A: Let the ladder be represented by AB where A is the end of ladder that is on ground and B is the end…

Q: 2. A girl 1.75m tall, standing on the roof of BHS principal's office, sees a car some distance away.…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: The Washington Monument is 555 feet high. If you are standing one quarter of a mile, or 1320 feet,…

A: Given Height of monument (H) = 555 ft Distance between monument's base and you = 1320 ft

Q: The Sibago Island lighthouse in Zamboanga stands on a rock 163.4 meters above sea level. A man in…

A: A

Q: After a hurricane, a homeowner examines trees on his property for damage. He thinks a 22-ft palm…

A: We have to find whether the palm tree leaning. If so, by how many degrees from the vertical.

Q: 5) A prince is standing 100 meters from the base of a tower where a beautiful princess is being held…

A: →Angle formed between the horizontal line and line of sight of observer is called the    angle of…

Q: An escalator lifts people to the second floor of a building, 25 ft above the first floor. The…

A: according to question, an escalator lifts people to the second floor of a building 25 ft above the…

Q: A civil engineer is calculating the height of a tall tree. She stands 57 feet from the base of the…

A:

Q: A 6-meter long ladder is leaning against a wall. If the top of the ladder makes an angle of 45…

A:

Q: 1. An observer stands 750 yards from the launch pad of a model rocket. As the rocket rises, the…

A: For a right angled triangle, using the cosine rule, it can be written that cos θ=bh, where b is the…

Q: Jim is looking up at a tree at an angle of elevation of 60°. If Jim is standing 72 feet away from…

A: use the formula by the trigonometric ratio for finding the height of the tree.

Q: A telephone pole is 55 feet tall. A guy wire 80 feet long is attached from the ground to the top of…

A: According to the question the figure is,

Q: A surveyor measuring the tallest tree in a park is 100 feet from the tree. His angle measuring…

A: We sketch the situation roughly.  AC= tallest tree, D= angle measuring device  Given, DE=5, BD= 100…

Q: After a hurricane, a homeowner examines trees on his property for damage. He thinks a 21-ft palm…

A: Given, the tree is considered to be slightly inclined vertically. So, the height of the tree will…

Q: A kite is flying at an angle of elevation of 43 degrees. Find the height of the kite if 37 ft of the…

A:

Q: woman entering an outside glass elevator on the ground floor of a hotel glances up to the top of the…

A:

Q: jacks eyes are 5 feet above the ground. He is standing 400 feet from the base of a building. The…

A: jacks eyes are 5 feet above the ground, he is standing 400 feet from the base of a building, and the…

Q: 8. A 25-foot ladder, leaning against the side of a building, makes a 50° angle with the ground. How…

A: sinθ = PerpendicularHypotenuse

Q: A 14 foot ladder leans against a building. The angle between the ground and the ladder is 30…

A: A 14 feet ladder leans against a building. Angle between ground and ladder is 30°

Q: The bell tower of the cathedral in Pisa, Italy, leans 5.6° from the vertical. A tourist stands 105 m…

A:

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: Andy is standing on top of a building that is 38 feet tall. A neighboring building is directly…

A:

Q: To measure the height of the cloud cover at an airport, a worker shines a spotlight upward at an…

A: Given  a spotlight upward at an angle 75◦ from the horizontal

Q: A football lands at the edge of the roof of your school building. When you are 25 feet from the base…

A:

Q: An engineer stands 145 feet from a building. He uses a transit telescope that stands 5 feet from the…

A:

Q: 21) Stationed on the top of a 120-foot lookout tower, a teenage soldier observes a tank approaching…

A: Here the soldier is standing on 120foot look out tower. A tank bund was approaching toward him.…

Q: You are standing on a boat that is 150 feet from a cliff. If you look up at a 35 degree angle you…

A: Solution: The objective is to find the height of the cliff

Q: To measure the height of the cloud cover at an airport, a worker shines a spotlight upward at an…

A: To measure the height of the cloud cover at an airport, a worker shines a spotlight upward at an…

Q: Disney's Tower of Terror ride in Walt Disney World is 199 feet tall. If Josh is standing 132 feet…

A:

Q: The angle of elevation from a park bench 778 feet from the base of the Gateway Arch in St. Louis, MO…

A: This problem can simply get solved by trigonometry. Let us use following figure for reference Now…

Q: 3. A kite is 100m above the ground. If there are 200m of string out, what is the angle (in radians)…

A:

Q: Xavier leans a 28-foot ladder against a wall so that it forms an angle of 69° with the ground. How…

A:

Q: how many meters above the ground is the balloon if there is no stack on the cable?

A:

Q: A curious math student standing on the roof of a building 36 feet above the ground decides to…

A:

Q: A surveyor is standing 118 feet from the base of the Washington Monument. The surveyor measures the…

A: tan∅=h/base of the mounment. tan78=h/118

Q: Julia leans a 18-foot ladder against a wall so that it forms an angle of 68° with the ground. How…

A: topic - trigonometric ratios

Q: A poll tilts towards the sun at an 8 degree angle from the vertical at it casts a 22ft. shadow. The…

A: Given:  A poll tilts towards the sun at an 8-degree angle from the vertical at it casts a 22ft.…

Q: where

A: In a right angled triangle:- Tan X = Perpendicular/Base

Q: A damsel is in distress and is being held captive in a tower. Her knight in shining armor is on the…

A:

Q: A man is lying on the beach, flying a kite. He holds the end of the kite string at ground level, and…

A: Let the angle of elevation be 'θ' and the length of the string be 'x'. Let the height of the kite…

Q: Stonehenge in Salisbury Plains, England, was constructed using solid stone blocks weighing over…

A: Consider the ramp as a right triangle in which the hypotenuse (c) is the ramp’s slope up which the…

Q: A hot-air balloon is floating above a straight road. To calculate their height above the ground, the…

A: Given that a hot-air balloon is floating above a striaght road angles of depression are 21° and 23°…

Q: The bell tower of the cathedral in Pisa, Italy, leans 5.6° from the vertical. A tourist stands 101 m…

A: satisfy all given condition

Q: 3. A 60 foot ramp of SM Cherry rises from the first floor to the second floor parking. The ramp…

A: A 60 foot ramp of SM Cherry rises from the first floor to the second floor parking. The ramp makes 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.