1. A boy flying a kite lets out 300 feet of string which makes an angle of 38° with the ground. Assuming that the string is straight, how high above the ground is the kite?

Q: A person in a small boat, offshore from a vertical cliff known to be 100 feet in height,takes a…

A: Given: A person in a small boat, offshore from a vertical cliff known to be 100 feet in height,…

Q: An airplane is flying 5000 feet above the ground. If the angle of depression to the airport runway…

A: Use tan theta to calculate ground distance

Q: Consider a clock with an hour hand and minute hand. What is the measure of the angle the minute hand…

A:

Q: A 12-ft ladder leans against a wall of a house in such a way that it makes an angle of 67° with the…

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Q: A woman 1.5 m tall is on top of a building. She observes a car on the road at an angle of 75°. If…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: a 14 yard rope is strung from the bottom of one tree to the top of another. The angle of elevation…

A:

Q: 3. (a) The Leaning Tower of Alpine has constructed 5° from perfectly vertical. When it casts a 20…

A: The schematic diagram of the problem is given below:

Q: 9) The angle of elevation from ground level to the top of a building is 50°. If the observer is…

A:

Q: Suppose you are headed toward a plateau 63m high. If the angle of elevation to the top of the…

A: Suppose you are headed toward a plateau 63m high. The angle of elevation to the top of the plateau…

Q: To build a handicapped-access ramp, the building code states that for every 1 inch of vertical rise…

A: Use trigonometry Here tan(theta) = perpendicular/Base

Q: A man who is 70 inches tall casts a shadow of 105 inches. Assuming that the man is standing…

A: Proceed as shown below

Q: Homework Conformation.

A:

Q: 7) Find the height of a building that projects a shadow of 350 ft on the ground, if the angle of…

A: The height of the building that projects a shadow of 350 ft on the ground  and the angle of…

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: 3. A 14-foot ladder is being used to get to the top of a 12-foot-tall wall. At what angle of…

A:

Q: Assuming that a 370 foot tall giant redwood grows vertically, if i walk a certain distance from the…

A: According to Given problem

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: 4. A 54 -ft ladder leans against a building so that the angle between the ground and the ladder is…

A:

Q: 19. How far from the wall of a building is the base of a 30 ft. ladder which makes an angle of 75°…

A: Given that length of the ladder is 30 ft. which makes an angle of 75° with the ground. We have to…

Q: From the top of a lighthouse 45 meters above sea level, a swimmer is observed swimming with angle of…

A: The diagram for given situation will be    whre AB=45m hieght of light houseC, position of…

Q: a1. The angle of depression from a bird sitting on top of a telephone pole to the base of a tree 12…

A: we are given with word problem.

Q: 2 A young man 1.7 m tall, while standing, measures the angle of elevation of the top of a pole as…

A: The young man has height 1.7 m tall with angle of elevation of the top of pole as 40°. Sketch the…

Q: A kite is held fast by a taut line 220 ft long. If the line makes an angle of 21°40' with the…

A:

Q: Suppose the Eiffel Tower is located 1000 feet from a building. From a window in the building, a…

A:

Q: Assuming that a 360-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A:

Q: A person in a small boat, offshore from a vertical cliff known to be 100 feet in height, takes a…

A:

Q: 2. Viola drives 170 meters up a hill that makes an angle of 6° with the horizontal. To the nearest…

A:

Q: A 10-foot rope connects the top of a tent pole to the ground. Ifthe rope makes an angle of 458 with…

A: Given:  Rope that connects the top of tent pole and ground= 10 foot…

Q: 3. A city engineer plans to build a footbridge across a lake from point X to point Y. She measures…

A:

Q: For safety, in climbing a ladder against a wall, the ladder should ideally make an angle of 75° with…

A:

Q: O A woman 1.65 m tall stood 50 m away from the foot of a tower and observed that the angle of…

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

Q: How tall is a bridge if a 6-foot tall person standing 100 feet away can see the top of the bridge at…

A:

Q: 1) Charlie is standing 250 feet from the base of a tall building. If he determines that the angle of…

A:

Q: In a kite, if the angle of elevation is 67 degrees and 100 feet if kite string has been let out, how…

A:

Q: Assuming that a 400-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A: Given height of redwood tree=400 foot Angle of elevation to the top of the tree=53°

Q: in a building, a person determines that the angle of elevation to the top of the monument is 15° and…

A:

Q: 24. How far up a vertical wall can a 4-meter ladder reach if the angle it makes with the ground is…

A:

Q: . If the angle of elevation of the sun is 63.4 when a building casts a shadow of 37.5 ft., what is…

A: NOTE: Refresh your page if you can't see any equations. . here we have AB=x feet (height of the…

Q: The Leaning Tower of Pisa, which has a height of 55.86 m from base to top, is leaning to the…

A:

Q: 19. How far from the wall of a building ia the base of a 35 ft. ladder which makes an angle of 70°…

A:

Q: Suppose that the angle of elevation of the sun is 23.4°. Find the length of the shadow cast by a…

A: We have, the angle of elevation of sun is 23.4° and person is 5.75 ft. tall. Let us consider that…

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: Suppose your angle of elevation to the top of a water tower is 78°. If the water tower is 145 ft…

A: Here we will use the concept of trigonometry and find the solution. We have to find the distance…

Q: A ship’s sonar finds that the angle of depression to a wreck on the bottom of the ocean is 15.2. If…

A: According to question, below the figure  Since line OA is parallel to BC∠OAC=∠ACB = 15.2°…

Q: 1. A 75-feet extension ladder rests on top of a hook and ladder truck with its base 11 feet from the…

A:

Q: A kite is flying at a 28° angle on a 300 ft string. Assuming the string is straight,how high is the…

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Q: 1. Stephanie knows that when she stands 123 feet from the base of the flagpole the angle of…

A:

Q: 3. Joey has already released 180 m of string while flying a kite. Suddenly, his kite got stuck on a…

A:

Q: 2.

A: We can easily calculate the unknown angle by using basic trigonometric fuctions. Let unknown angle…

Q: 2. A 15-foot ladder leans against a wall and makes an angle of 65° with the ground. What is 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.