A 20-foot support post leans against a wall, making a 70° angle with the ground. To the *nearest tenth of a foot*, how far up the wall will the support post reach?

Q: The length of the shadow of a flagpole 55.20 ft tall is 27.65 ft. Find the angle of elevation of the…

A: Given that height of a flagpole AC = 55.20 ft Length of the shadow AB= 27.65 ft Need to evaluate…

Q: A 17-foot ladder is placed against a wall. The ladder is on level ground at an angle of 71.5 degrees…

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Q: A 20-ft ladder leans against a building so that the angle between the ground and the ladder is…

A:

Q: A 15 foot ladder is leaning against the side of a building. The angle of elevation between the…

A: Here we will find height of side of building where ladder can reach,

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 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: Find the point on the terminal side of a 210 degree angle drawn in standard position whose distance…

A: Given:Measure of angle, θ=210 degreesDistance of point from origin, r = 2 units

Q: A ladder 20 feet long leans against a building, forming an angle of 71° with the level ground. How…

A: Given,A ladder is 20 feet longforming an angle of 71° with the level ground.

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

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Q: A 2525-ft ladder leans against a building so that the angle between the ground and the ladder is…

A: Length of the ladder = 25ftangel between ground and the ladder = 78°

Q: Mohal leans a 20-foot ladder against a wall so that it forms an angle of 72° with the ground. How…

A: Given: Height of ladder =20 ft Angle between ground and ladder = 72 To find: How high does ladder…

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: If a 72.0-foot flagpole casts a shadow 56.0 feet long, what is the angle of elevation of the sun (to…

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Q: A 6-meter long ladder is leaning against a wall. If the top of the ladder makes an angle of 45…

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Q: Find the smallest angle, in radians to 2 decimal places, in a right-angled triangle with longest…

A: Given right angle triangle so use Pythagoras theorem  to find the third side.. Then  infront of…

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: The Seattle Space Needle casts a 67-meter shadow. If the angle of elevation from the tip of the…

A: Given: The angle of elevation from the tip of the 67-m shadow to the top of the Space Needle is 70°.

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

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

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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: The angle of elevation from a point 116 meters from the base of the Eiffel Tower to the top of the…

A: The given situation is described in a diagram as: where the angle of elevation is ∠A=68.8° and…

Q: From the top of an 82 meter high vertical cliff, a boat has an angle of depression of 32 degrees.…

A: We will use trigonometric ratio to solve this.

Q: A 33 foot ladder leans against a building so that the angle between the ground and the ladder is 75°…

A: Draw a schematic diagram of the given question. Given data, Length of ladder, AC = 33 ft Angle…

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 forest ranger views a tree that is 200 feetaway with a viewing angle of 20°. How tall is the tree…

A: Given Information -  The forest ranger is 200 feet away from the tree. The viewing angle is 20° to…

Q: If a 71.0-foot flagpole casts a shadow 59.0 feet long, what is the angle of elevation of the sun (to…

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: 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: You want to make an 80 angle by marking an arc on the perimeter of a 12-in.-diameter disk and…

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Q: From a point on level ground 125 feet from the base of a tower, the angle ofelevation is 57.2°.…

A: let a represents the height of the tower. In the right triangle, we have a known angle, an unknown…

Q: A 600-ft guy wire is attached to the top of a communications tower. If the wire makes an angle of…

A: A 600-ft guy wire is attached to the top of a communications tower and the angle made by the wire…

Q: The leaning tower of Pisa in Italy is 55.9 m tall and is leaned at an angle of 86˚ with the ground.…

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Q: A wheel is rotating 240 times per minute. Through how many degrees does a point on the edge of the…

A: We have given, a wheel is rotating 240 times per minute. i.e. in 60 seconds it is rotating 240…

Q: A 36 -ft ladder leans against a building so that the angle between the ground and the ladder is 83…

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

A:

Q: From a point on level ground 145 feet from the base of a tower, the angle of elevation is 52.6°.…

A: Given From a point on level ground 145 feet from the base of a tower, the angle of elevation is…

Q: An escalator in a department store rises 80 feet at a 32° angle, as shown below. 80 feet What is the…

A: It is a right angle triangle so  SinA = opposite side/ adjacent side Given A =32o And opposite side…

Q: A 60-foot zip line from a tree to the ground forms a 45° angle of elevation from the ground. How…

A: According to the question,   Draw the diagram of the given situation,   Let x = the height of the…

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: 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: 25. The tallest tree in the world as of 2006 casts a shadow that is 246,6 ft when the angle of…

A: The tree casts a shadow that is 246.6ft when the angle of elevation of the sun is 57°

Q: How tall is a building that casts a 75​-ft shadow when the angle of elevation of the sun is 35°​?

A: height of building =?

Q: A tower that is 155 feet tall casts a shadow 163 feet long. Foind the angle of elevation of the sun…

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

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Q: A 33-ft ladder leand against a building so that the angle between the ground and the ladder is 80°.…

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