A 16 foot ladder leaning against a wall of a house makes a 50° angle with the ground. How far up the wall will the ladder reach? Round answer to the nearest foot.

Q: A 15 foot ladder is leaning against the side of a building. The angle of elevation between the…

A: Here we will find height of side of building where ladder can reach,

Q: A 300 meter cable wire is attached to the top of a tower from the ground. The angle of elevation to…

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Q: A 14-ft ladder leans against a building so that the angle between the ground and the ladder is…

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Q: On a test flight, during the landing of the space shuttle, the ship was 366 ft above the end of the…

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Q: If a 20-foot ladder makes a 65. angle with the ground, how many feet up a wall will it reach? Round…

A: We can easily found height of wall it will reach by ladder by using sine of angle .

Q: Find the angle that an 18-foot ladder leaning against a wall makes with the ground If the bottom of…

A:

Q: Jeriel leans a 26-foot ladder against a wall so that it forms an angle of 61° ground. What's the…

A: Given query is to find the distance between base of the ladder and the wall.

Q: From the top of a 230-meter-tall building, an observer measures the angle of depression of a bicycle…

A:

Q: When a six-foot pole casts a four-foot shadow, what is the angle of elevation of the Sun? Round to…

A: A six-foot pole casts a four-foot shadow. Now the diagrammatic representation is,

Q: An 85-foot rope from the top of a tree house to the ground forms a 45° angle of elevation from the…

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

Q: A slide 4 m long makes an angle of 27 degrees with the ground. How high is the top of the slide…

A: Given,          A slide 4 m long makes a angle of 27 degrees with the ground.

Q: . A lamppost casts a shadow of 18 ft when the angle of elevation of the Sun is 33.7°. How high is…

A: Length of shadow=18ft Angle of elevation=33.7 degree

Q: Find the angle of elevation of the sun, in degrees, when a 12 meter tall telephone pole casts a 21.6…

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Q: From the top of a 300 feet tallI lighthouse, the angle of depression to a ship in the ocean is 21°.…

A:

Q: The Tower of Terror ride in Disney World, Florida is 199 feet tall. If Josh is standing 132 feet…

A: Given: The Tower of Terror ride in Disney World, Florida is 199 feet tall. If Josh is standing 132…

Q: Find the angle that an 18-foot ladder leaning against a wall makes with the ground if the bottom of…

A: Here use we have to use trigonometric ratio to find the angle required.

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

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

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Q: The top of an 8-foot ladder leans against a wall at a height of 7 feet. What angle (degrees) does…

A: Length of the ladder is 8 foot and length of the wall is 7 feet. We have to find the angle between…

Q: A 20-foot ladder leaning against a wall forms an angle of 46° with the ground. How far up the side…

A: ladder length=20 footwe know-sin θ=xladder

Q: A tower casts a shadow that is 154 feet long when the angle of elevation to the sun is 52°. How tall…

A: We use the definition of tan of an angle heretanθ =opposite sideadjacent side

Q: Kurt spots a bird sitting at the top of a 40ft tall telephone pole. If the angle of elevation from…

A: Let x be the distance between Kurt and base of the pole. Now the diagrammatic representation of the…

Q: From the top of a 215-meter-tall building, an observer measures the angle of depression of a bicycle…

A: Use trigonometric ratio to solve it.

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 25-foot ladder leans up against a house at an angle of 65°. How high up on the house does the…

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Q: A building 150 feet tall casts a 30 foot long shadow. If a person looks down from the top of the…

A: Given,

Q: A person standing 188 ft from the base of a church observed the angle of elevation to the church's…

A: Given:  The person standing 133 ft from the base of church observed the angle of elevation to the…

Q: A 40 ft. guy wire is connected to a telephone pole, forming a 21° angle with the pole. How far from…

A: Consider this right angled triangle as ABC then to calculate how far from the pole is the guy wire…

Q: The empire state building is 1250 ft tall and approximately 3.0 mi from the brooklyn bridge. From…

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Q: A 20-ft ladder leans against a building so that the angle between the ground and the ladder is 72…

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Q: From the top of a 213-ft lighthouse, the angle of depression to a shop in the ocean is 17°.  How far…

A:

Q: A 500-ft guy wire is attached to the top of a communications tower. If the wire makes an angle of…

A: Given a 500 ft -guy wire is attached to the to a communications towerand makes an angle 65° with the…

Q: A 6-meter long ladder is leaning against a wall. If the top of the ladder makes an angle of 450 with…

A: A 6-meter long ladder is leaning against a wall. If the top of the ladder makes an angle of 450 with…

Q: A straight kite string makes an angle of 40° with the ground, as shown in the diagram. If y = 200…

A: Given: A straight kite string makes an angle of 40° with the ground also 200 feet string has been…

Q: A ladder leaning against the wall makes an angle of 74 with the ground. If the foot of the ladder is…

A: Since, a ladder is leaning against the waall making an angle of 74° withthe ground.Alos, we have…

Q: A 16 foot ladder leaning against a wall of a house makes a 50∘angle with the ground. How far up the…

A:

Q: A person standing 241 feet from the base of a church observed the angle of elevation to the church's…

A: It is given that, A person standing 241 feet from the base of a church observed the angle of…

Q: A 60-foot zip line from a tree to the ground forms a 45° angle of elevation from the ground. How…

A: According to the question,   Draw the diagram of the given situation,   Let x = the height of the…

Q: From the top of a fire tower that is 45 feet high, a forest ranger sees her colleague on the ground…

A: From the top of a fire tower that is 45 feet high, a forest ranger sees her colleague on the ground…

Q: From his eye, which stands 162 meters above the ground, Almadou ie angle of elevation to the top of…

A: Using  Tan thita= perpendicular/base

Q: A 7-ft ladder leans against the side of a house. How far is the bottom of the ladder from the side…

A: Angle of elevation of ladder =64∘ Here we will apply cosine formula which is given as-…

Q: A man climbs 213 meters up the side of a pyramid and finds thatthe angle of depression to his…

A: A man climbs 213 meters up the side of a pyramid and finds that the angle of depression to his…

Q: A 15-ft ladder leans against a building so that the angle between the ground and the ladder is 74…

A: Let AB represent the building and AC represent the ladder. So the triangle formed by the ladder,…

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

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Q: Janelys leans a 16-foot ladder against a wall so that it forms an angle of 61° with the ground. How…

A: Here AC = length of ladder = 16 foot AB = wall BC = ground m∠ACB = 61° We have to find the length of…

Q: If you stand 100 feet from the gym, how tall would it be if the angle of elevation feet to the top…

A: Lets assume that the gym is x feet tall . Drawing the Diagram as per  the Question , Let OA…

Q: A plane takes off and climbs at a 9° angle. After flying over 8 miles of ground, what will the…

A: To find: The plane's altitude h. Concept used: Trigonometric ratio: tan θ=pb Here, p is…

Q: A 4-m beam is used to brace a wall. If the bottom of the beam is 3 m from the base of the wall, what…

A: Since a 4 m beam is used to brace a wall and given that if the bottom of the beam is 3 m from the…

Q: A 32-ft ladder leans against a building so that the angle between the ground and the ladder is 79…

A:

Q: A 16 foot ladder leaning against a wall of a house makes a 50° angle with the ground. How far up the…

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.