A 6-meter long ladder is leaning against a wall. If the top of the ladder makes an angle of 45 degrees with the wall, how far is the foot of the ladder from the wall? Show your Solution.

Q: A person standing 306 feet from the base of a church observed the angle of elevation to the church's…

A: According to the question distance between base of the church and the observing person is 306 feet.

Q: From a point 100 feet away from a cell phone tower, the angle of elevation to the top of the tower…

A:

Q: A 20-foot support post leans against a wall, making a 70° angle with the ground. To the *nearest…

A: Length of the support post = 20foot Angle between ground and support post = 70° sinθ =…

Q: An air traffic controller on top of a 300-foot airport tower looks up and sees a balloon. The angle…

A: An air traffic controller on top of a 300-foot airport tower looks up and sees a ballon.The angle of…

Q: the angle of inclination from the base of skyscraper A to the top of the skyscraper B is approx 10.6…

A: We have, the angle of inclination from the base of skyscraper A to the top of the skyscraper B is…

Q: From the second floor of Building I, an observer estimates the angle of elevation to the top of…

A: Angle of elevation to top of building second is 75° and  the angle of depression to its base to be…

Q: A person standing 234 feet from the base of a church observed the angle of elevatlon to the church's…

A:

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: A 20 foot ladder leans against the a house forming a 75 angle with the house. Exactly how far is the…

A:

Q: A 5-meter-long ladder, learning against a vertical wall makes an angle of 65 degree ground. How…

A: Given, Ladder length=5 meters leaning against a vertical wall makes an angle of 65 degrees on the…

Q: A 16 foot ladder is placed so that it makes an 80° angle with the ground. How far up the wall does…

A: Ladder is 15.8 foot high up the wall .

Q: The Statue of Liberty is approximately 305 feet tall. If the angle of elevation of a ship to the top…

A: We have to find

Q: A 14-foot ladder leans against a wall so that the angle between the ground and the ladder is 33°.…

A: Length of Ladder is 14 foot  The angle between the ground and the ladder is 33 degrees. To find how…

Q: A 20-foot support post leans against a wall, making a 70° angle with the ground. To the *nearest…

A: sin theta=opposite/hypotenuse

Q: A ladder leans up against a building at an angle of 65° with the ground. If the ladder is 5 metres…

A: Given: A ladder leans up against a building at an angle of 65° with the ground. The ladder is 5…

Q: If the angle of elevation from the ground to a tree is 40° from 108 feet away, how tall is the tree?

A: Let AB be the tree and C is the point on the ground. According to question, BC=108 feet and ∠C=40°.…

Q: An 18 - foot high lamppost casts a shadow. If the angle of elevation from the tip of the shadow to…

A:

Q: when the sun is at a certain angle in the sky, a 20-foot flagpole will cast a 16 foot shadow. How…

A:

Q: the sun hits a building of unknown height so that the building casts a shadow of 410 feet. if the…

A: It is known that for a right angled triangle,

Q: If your standing on the trail 220 feet from the bottom of a tree, you have to look up at a 60 degree…

A: Topic-hight & distance trigonometry

Q: The angle of depression of a stone on the ground from the top of a tower is 45. If the stone is at a…

A: According to problem   distance from tower and stone is 120 meters angle of depression θ=45°

Q: A 15-foot ladder leans against a wall and makes an angle of 65° with the ground. What is the…

A: when ladder lean in a wall it behaves as a hypotenuse of a right angled triangle

Q: From the top of a 72 m high vertical cliff, a boat is 115 m away from the cliff. What must be the…

A: Given:- From the top of a 72 m high vertical cliff, a boat is 115 m away from the cliff. To find:-…

Q: Suppose you are headed toward a plateau 68 m high. If the angle of elevation to the top of the…

A: Given : The height of a plateau is 68 m

Q: How long of a ladder is needed to reach a windowsill 50 feet above the ground if the ladder rests…

A: So we have to find how long of a ladder is needed to reach a windowsill 50 feet above the ground if…

Q: A 45 inch wood plank leans against the side of a building so that the angle between the ground and…

A: Topic = Trigonometric ratios  44.83 inches high the wood plank reach up to the side of the building.…

Q: A 51-foot wire running from the top of a tent pole to the ground makes an angle of 57° with the…

A:

Q: A 20 meter long cable is used to support a telephone pole, holding it perpendicular to the ground.…

A:

Q: A 24 ft ladder leans against a building so that the angle between the ground and ladder is 85…

A: Given : A 24 ft ladder leans against a building so that the angle between the ground and ladder is…

Q: A radio transmission tower is 205 feet high. How long should a guy wire be if it is to be attached…

A: A radio transmission tower is 205 feet high . We find how long should a guy wire be if it is to be…

Q: From the top of a 200 meters high building, the angle of depression to the bottom of a second…

A:

Q: A 20-foot support post leans against a wall, making a 70° angle with the ground. To the *nearest…

A: We will use formula of sin(x) to solve this.

Q: A cable wire is used to support a tower 250 m tall. If the cable makes an angle of 72" with the…

A:

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 ladder 20 feet long leans against a building, forming an angle 71 degrees with the level ground.…

A:

Q: From a building across the street, the angle of depression of the foot of an edifice is measured as…

A:

Q: The angle of elevation from the top of one building to another is 26°. If the shorter building is…

A: We can use  the tangent to find this.........   tan 26°  =  (400  + h)1500     where (400 + h) is…

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

A:

Q: From the second floor of Building I, an observer estimates the angle of elevation to the top og…

A: Given:  From the second floor of Building I, an observer estimates the angle of elevation to the top…

Q: A ladder rests against a building at a point that is 95 feet from the ground. If the ladder makes a…

A: A ladder rests against a building at a point that is 95 feet from the ground.The ladder makes a 37°…

Q: A 37-ft ladder leans against a building so that the angle between the ground and the ladder is 79°.…

A: SinB = opposite side / hypotenuse.

Q: From the top of a fire tower, a forest ranger sees his partner on the ground at an angle of…

A: We know that the trigonometric ratio of tangent is  tan(x) = perpendicular / adjacent  tan(x) =…

Q: A girl is on the beach and the angle of elevation from her feet to the top of a lighthouse is 62° .…

A:

Q: To measure a stone face carved on the side of a​ mountain, two sightings 700 feet from the base of…

A:

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

A:

Q: A 32ft ladder leans against a building so that the angle between the ground and the ladder is 81…

A:

Q: An 18-foot ladder leans against a building so that the angle between the ground and the ladder is…

A:

Q: A 31-ft ladder leans against a building so that the angle between the ground and the ladder is 81∘.…

A:

Q: The angle of elevation from a fishing boat to the top of a lighthouse is 5°. If the top of the…

A:

Q: A 8-ft ladder leans against a building so that the angle between the ground and the ladder is 69 How…

A: Solve the following problem

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.