A baseball, hit 6 feet above the ground, leaves the bat at an angle of 57° and is caught by an outfielder 3 feet above the ground and 208 feet from home plate. Neglecting air resistance, what was the initial speed of the ball? Your answer should be in feet per second, but do not enter the units in the answerbox. vo =

Q: A five foot tall woman is standing 18 feet from a statue. She must look up at an angle of 50 degrees…

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Q: A cable from the top of a 100 foot telephone tower makes a 50° angle with the ground. How long is…

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Q: A 31-ft ladder leans against a building so that the angle between the ground and the ladder is 85°.…

A:

Q: An airplane climbs at an angle of 44° with the ground. What is the distance it has traveled in the…

A: An airplane climbs at an angle of 44° with the ground. What is the distance it has traveled in the…

Q: a man standing on the roof of a building 58.0 feet high looks down to the building next door. He…

A: Given the angle of depressions of top and bottom of the buildings are 34.9 degree and 63.8 degree…

Q: A person standing 251 feet from the base of a church observed the angle of elevation to the church's…

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Q: A 6-foot ladder leans against a wall so that the angle between the ground and the ladder is 78 How…

A:

Q: Kiran is flying a kite. He gets tired, so he stakes the kite into the ground. The kite is on a…

A: Given data: Consider the length of the string is AC. Then, AC=18 ft. The kite make 30 degrees angle…

Q: A rectangular piece of wood 4 x 12 cm tall is tilted at an angle of 45 degrees. Find the vertical…

A: so, even if we dont tilt, the rectangle corners will be same distance apart, as we are not…

Q: The radius of the wheel on a bike is 18 inches. If the wheel is revolving at 118 revolutions per…

A: Given radius of wheel on bike=18 inches.Also wheel is revolving at 118 revolutions per minute.To…

Q: Over 2000 years ago, the Greek scholar Eratosthenes estimated Earth's circumference by assuming that…

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Q: It takes 791 horizontal feet for a submarine to submerge 371 feet. What is the angle of depression,…

A:

Q: A 12 feet ladder leans against the wall of a building and touches the bottom of a window that is 10…

A: We have to determine the angle of ledder with the ground

Q: A force of 745 pounds just keeps a 4100 - pound vehicle from rolling down a hill. To the nearest…

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Q: Gene redesigned the garage from Exercise 29 so that the 12-ft roof would rise 2 ft as shown. Find…

A: the triangle formed is a right-angled triangle with a roof to be 12 ft. and is 2ft. above the…

Q: What is the reference angle of -4/3+ j4 ?

A: Here we have to find the reference angle.

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 gun is fired with angle of elevation 30o. What is the muzzle speed if the maximum height of the…

A:

Q: A shell, fired from ground level at an elevation angle of 45 ◦ , hits the ground 24,500 m away.…

A: Given: The shell was fired from the ground at an elevation of θ=45°. Horizontal distance from the…

Q: Mo is on a baseball team and hears that a ball thrown at a 44 degree angle from the ground will…

A: Given, Mo is on a baseball team and hears that a ball thrown at a 44 degree angle from the ground…

Q: How high is the building whose horizontal shadow is 60 meters when the angle of elevation of the sun…

A: The building whose horizontal shadow is 60 meters when the angle of elevation of the sun is 58°12'

Q: A batter hits a baseball 3 ft above the ground toward the center field fence, which is 10 ft high…

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Q: A child is enjoying a Saturday afternoon flying a kite. While holding the string 4 feet above the…

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Q: Alexander is looking up at a 100-foot tall building at an angle of elevation of 30°. If his e 6 feet…

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Q: What is the reference angle of -4/3+ j4?

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Q: Your math class is going to test new digital clinometers by measuring the angle of elevation of a…

A:

Q: Mo is on a baseball team and hears that a ball thrown at a 45 degree angle from the ground will…

A:

Q: The base of an isosceles triangle is 8 feet long. If the altitude is 6 ft long and is increasing 3…

A: Let ABC be an isosceles triangle where x = Base angle, y = Altitude. Given: BC = 8 ft , y=6 and dydt…

Q: Bob, who is 2.2 m tall, is standing a distance of 15 m from a flagpole as shown below. From his…

A: Consider a point A on the flag pole such that point B and A are at the same level from the ground.…

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 person standing 388 feet from the base of a church observed the angle of elevation to the church's…

A:

Q: A geologist measured the angle of elevation to the top of a mountain to be 39°. From a point 200…

A:

Q: 10. Burj Khalifa in Dubai is the tallest building in the world, standing at 828 meters. An adjacent…

A: The solution for the above question is as shown below.

Q: The angle of elongation between Venus and the Sun is 26". Given that Venus is 67.2 million miles…

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Q: A state trooper is hidden 30 feet from a highway. One second after a truck​ passes, the angle θ…

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

A: Given- From the top of 200 m high building, the angle of depression to the bottom of a second high…

Q: A 100 ft. ladder rests on top of a hook and ladder truck with its base 11 feet from the ground. When…

A: We know that the trigonometric ratios :  sin(x) = opposite /hypotenuse .

Q: A monument is 35m tall. What is the length of its shadow when the angle of elevation of the sun is…

A: We know that tan(θ)=opposite sideadjacent side

Q: King Kong stands on the edge of the roof of a 68 foot high building. You poke your head out of a…

A: Given the height of a buliding which is 68 ft high and a king kong which stands on the edge of roof.

Q: The altimeter of a jet airplane approaching Eusebio International Airport records 6,300 feet as it…

A:

Q: а. What is the smallest positive angle which is co-terminal to –1125°? b. What is the height of an…

A: As per guidelines we can solve only one question at a time. if you need more answers kindly repost…

Q: A state trooper is hidden 30 feet from a highway. One second after a truck​ passes, the angle θ…

A: A state trooper is hidden 30 feet from a highway. One second after a truck​ passes, the angle θ…

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

A:

Q: What is the measurement of this angle?

A: To Calculate: Measurement of given angle.

Q: an airplane door is 19 feet off the ground and the ramp has a 31 degree angle of elevation. what is…

A: given,

Q: A man standing on top of a building 60.0 feet tall is looking at the building next door. He notices…

A:

Q: What is the measurement of this angle?

A: The given angle is:

Q: The angle of depression from a window to a rock to the ground is 67.8 degrees. What is the angle of…

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.