a ladder leans against the side of a house. the angle of elevation of the ladder is 66 when the bottom of the ladder is 16 ft from the side of the house. find the length of the ladder. round your answer to the nearest tenth

Q: In the evening, a tree that stands 12 ft tall casts a long shadow. If the angle of depression from…

A: Since, it is given that in the evening a 12 ft tall tree cast a long shadow,Also, it is given that…

Q: As shown in the diagram below, a ladder 5 feet long leans against a wall and makes an angle of 65°…

A: A ladder 5 feet long leans against a wall and makes an angle 65° with the ground.we have to find…

Q: The angle of elevation from a ship in the ocean to an airplane overhead is 25°. If the horizontal…

A:

Q: A radio tower is located 350 feet from a building. From a window in the building, a person…

A:

Q: A radio tower is located 425 feet from a building. From a window in the building, a person…

A:

Q: As viewed from a cliff 360 m above sea level, the angle of depression of a ship is 28°. How far is…

A: The objective is to find how far is the ship from the base of the Cliff

Q: A radio tower is located 300 feet from a building. From a window in the building, a person…

A: Given information can be depicted in the following figure:

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 22-ft ladder leans against a building so that the angle between the ground and the ladder is 67°.…

A: Here AC is ladder of length 22 ftAB is buildingBC is ground and the angle between the ladder and…

Q: A ladder is leaning against the side of a building. If the ladder forms an angle of 60∘ with the…

A:

Q: A 18-ft ladder leans against a building so that the angle between the ground and the ladder is 74°.…

A:

Q: A 14-ft ladder leans against the side of a house. The angle of elevation of the ladder is 63°. How…

A: Given, Hypotenuse (h)=14 Angle of evaluation (θ)=630 Height (h)=?

Q: A radio tower is located 300 feet from a building. From a window in the building, a person…

A:

Q: A radio tower is located 400 feet from a building. From a window in the building, a person…

A: Given: A radio tower is located 400 feet from a building. From a window in the building, a person…

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

A:

Q: A 30-foot ladder leans against the side of a barn. Find how high up the side of the barn the ladder…

A: Given that A 30-foot ladder leans against the side of a barn. And the angle the ladder makes with…

Q: The top of the building makes an angle of elevation of 40 degrees from a car parked on the ground.…

A: From triangle,tan40o = 60xx = 60tan40o = 71.50 mSo, the car is parked 71.50 m away from the base of…

Q: A kite with a string 150 feet long makes an angle of 45° with the ground, Assuming the string is…

A: Topic: height and distance

Q: The proper angle for a ladder is about 75 degrees from the ground. Suppose you have a 18 foot…

A: Suppose AC be the height of the ladder and BC be the distance of the base of the ladder from the…

Q: A radio tower is located 425 feet from a building. From a window in the building, a person…

A: ∴Height of tower is x+yAM=425 ftIn ∆ADM ;tan40°=x425x=425 x tan 40°∴x=356.617 ft

Q: The angle of elevation to a nearby tree from a point on the ground is measured to be 73°. How tall…

A:

Q: A radio tower is located 375 feet from a building. From a window in the building, a person…

A: here we have

Q: A 18-ft ladder leans against a building so that the angle between the ground and the ladder is 67°.…

A: Ladder = 18 ftangle , θ= 67°

Q: The proper angle for a ladder is about 75° from the ground. Suppose you have a 21 foot ladder. How…

A:

Q: From a window,30.0 ft above the street, the angle of elevation to the top of a building is 50° and…

A:

Q: A radio tower is located 300 feet from a building. From a window in the building, a person…

A:

Q: The bottom of a doorway to a building is 3.45 feet above the ground, and a ramp to the door for the…

A: Given that, Height of the door way from the ground is 3.45 ft. and the ramp to the door is at an…

Q: A 19-ft ladder leans against a building so that the angle between the ground and the ladder is 65°.…

A: Given: A 19-ft ladder leans against a building so that the angle between the ground and the ladder…

Q: 42. From the top of a building, the angle of depression to a car parked on the street below is 48°.…

A: Since the exact one wasn't specified we'll answer the first question only. Please resubmit a new…

Q: A radio tower is located 350 feet from a building. From a window in the building, a person…

A: When the person is looking up the angle formed by line of sight and horizontal line is called the…

Q: From the top of a tower which which is 175ft. tall, the angle of depression to a house is 13°. How…

A: solution : 758 ft

Q: The proper angle for a ladder is about 75 from the ground. Suppose you have a 15 foot ladder. How…

A: we have a 15 foot ladder which is attached to a wall at a angle of 75°

Q: The proper angle for a ladder is about 75° from the ground. Suppose you have a 27 foot ladder. How…

A: We have to find the length

Q: The proper angle for a ladder is about 75° from the ground. Suppose you have a 4 foot ladder. How…

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 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: The angle of elevation to a nearby tree from a point on the ground is measured to be 64°. How tall…

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: given: A 16 foot ladder leaning against a wall of a house makes a 50° angle with the ground. we have…

Q: A ladder is leaning against the wall and makes a 60° angle with the ground. The base of the ladder…

A: Let 'a' be the length of ladder and 'b' be the height of the building.Since, it is given that…

Q: A radio tower is located 250 feet from a building. From a window in the building, a person…

A:

Q: A 18-ft ladder leans against a building so that the angle between the ground and the ladder is 65°.…

A:

Q: The proper angle for a ladder is about 75 degrees from the ground. Suppose you have a 9 foot ladder.…

A: Consider the triangle:

Q: A radio tower is located 300 feet from a building. From a window in the building, a person…

A:

Q: A radio tower is located 325 feet from a building. From a window in the building, a person…

A:

Q: a person is standing on the roof of a building and is 34 feet away from the base of the building.…

A: The angles and the sides of a right triangle are related by using trigonometric functions.…

Q: From the top of a 156 foot lighthouse, the angle of depression to a ship in the ocean is 40°. How…

A:

Q: A ladder is leaning against the wall and makes a 60? angle with the ground. The base of the ladder…

A: Let 'l' is length of ladder and 'h' be the height of building.

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 20-foot ladder is leaning up against a wall. The angle formed with the base of the ladder and 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.