David’s construction company is designing roof trusses in the shape of isosceles triangles for new homes in Orlando. The pitch of the room can be determined by finding the angle between the run and the slope of the roof.   What is the pitch of the roof to the nearest degree?

Q: an airplane is flying from New Orleans to Atlanta. As the airplane is about to finish its course,…

A:

Q: Find the measure of the missing angles.

A: Introduction: We know that the angle of a straight line is 180°. Let x and y be two angles on a…

Q: A surveyor is trying to measure the distance between two points on opposile In order to do so, she…

A: Given Data:  The distance between the edge of the lake (LE2) and the marker is: a=12 ft The distance…

Q: Drag a pair of corresponding angles into the boxes and describe their relationship.

A: ∠PRQ and ∠SUT are congruent

Q: In a movie theatre 150 feet long, the floor is sloped so there is a difference of 30 feet between…

A: Given:- In a movie theatre 150 feet long, the floor is sloped so there is a difference of 30 feet…

Q: A ranger in a 95 ft tower looks down at an angle of depression of 49 and spots a camper in trouble.…

A:

Q: A man is lying on the beach, flying a kite. He holds the end of the kite string at ground level and…

A: A man is lying on the beach, flying a kite. He holds the end of the kite string at ground level and…

Q: If the horizontal distance was measured to be 130m and the inclination angle was 25 degrees, what is…

A: For the right angled triangle, label the perpendicular angle as C to form the triangle ACB.   For…

Q: From the third floor window of a building the angle of depression of an object on the ground is 35°…

A: Given that the angle of depression of an object on the ground from third floor window of a building…

Q: When she was younger, Mary had to look up at a 46° angle to see into her father's eyes whenever she…

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Q: What is the measure of the missing angle.

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

A: Note: There are multiple questions. No specific question has been asked.So, We will solve the first…

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: Use the fact that the longest side of a triangle is across from the largest angle to explain why the…

A: Here we have to prove that the hypotenuse is always the longest side in the right triangle.

Q: A straight kite string makes an angle of 40° with the ground, as shown in the diagram. If y = 210…

A: It is given that the length of the string is 210 feet  and angle of the string with the ground is…

Q: To the nearest tenth, what angle of descent (angle of depression) must a plane 264,000 horizontal…

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Q: What should be the height of a flagpole where a 20 feet long ladder reaches 20 feet below the top of…

A: Given: The length of the ladder is 20 feet long.

Q: simon is due north of a tall totem pole and walks 75m, 40° west of south. From his new position, the…

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Q: A kite flies at a height of 35 feet when 60 feet of string is out.If the string is in a straight…

A: We have, a kite flies at a height of 35 feet when 60 feet of string is out and the string is in a…

Q: An aircraft (at Z) is spotted by two observers (at X and Y) who are L=1350 feet apart. As the…

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Q: A bird is flying in the sky when it spots a worm on the ground. If the angle of depression from the…

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Q: Gabe can see the top of the fountain by looking up at an angle of 39o . If Gabe is 1.3m tall and the…

A: Given that Gabe can see the top of the fountain at an angle of 39 degree. If Gabe is 1.3 m tall and…

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: Due to a storm, a pilot flying at an altitude of 586 feet has to land early. If he has a horizontal…

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Q: A telephone company is building a 30-foot antenna to carry cell phone transmissions. As shown in the…

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Q: at the same basketball game during halftime, the home team's mascot has a t-shirt launcher in which…

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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: An 8-foot ladder leaning against a wall makes an angle of 74 with the ground. How high up the wall…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: What best describes the pair of angles below?

A: Consider the given figure.

Q: Baldwin St. in Dunedin, New Zealand, is the steepest street in the world. It has a grade of 38%. To…

A: Let, the angle be x It is given that, the road has a grade of 38%

Q: A kite flies at a height of 30 feet when 65 feet of string is out. If the string is in a straight…

A: Given: A kite flies at a height of 30 feet when 65 feet of string is out. The figure gives the clear…

Q: A ranger in a 112 ft tower looks down at an angle of depression of 42 and spots a camper in trouble.…

A: We have to find out

Q: A park ranger, on top of a 200-- foot tower, spots a wolf at an angle of depression of 14°. How far…

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Q: a man standing near a radio station antenna observes that the angle of elevation to the top of the…

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

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Q: Tamara wants to calculate the height of a tree outside her home. Using her clinometer, she measures…

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Q: Find the measure of the bolded angle.

A: The measure of the bolded angle  8x + 14 can be calculated using the property of vertical opposite…

Q: A parking lot is to have the shape of a parallelogram that has adjacent sides measuring 200 feet and…

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Q: The boat is 3 mi from both light houses and the angle between the line of sight to the lighthouses…

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Q: Find the value of the missing angle.

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Q: From the top of a light-house at a height 20 meters above sea level, the angle of depression of a…

A: Use trigonometric ratio, tan(theta) = Perpendicular/Base Note that, side opposite to the angle is…

Q: An observer saw a canoe 8 meters below the cliff that makes a viewing angle with respect to the…

A: Given conditions can be drawn as follows, Here, Angle of depressions 30o and angle ABC are…

Q: a surveyor is modeling how tall a new building for a project must be. If he is standing 200 feet…

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Q: An American-Italian high school hockey player from the North Shore is standing 10 feet from a…

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Q: Brothers Bob and Tom Katz buy a tent that has a center pole 6.25 feet high. If the sides of the tent…

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Q: A forester standing 200 feet from the base of a redwood tree observes that the angle of…

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Q: Find the angle of depression if you are standing on top of a hill that is 300 high from sea level,…

A: Angle of depression

Q: A man is lying on the beach, flying a kite. He holds the end of the kite string at ground level, and…

A: Let the angle of elevation be 'θ' and the length of the string be 'x'. Let the height of the kite…

Q: Jaden is flying a kite and lets off 275 feet of string. If the kite is 150 feet above ground and…

A: Hi, Thank you for the question. Since you have posted multiple questions as per the rule we will…

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.