A 35-foot tall pole is leading towards a building. To stop the pole from leaning further, a 48-foot long cable is secured from the top of the pole to a stake in the ground opposite of the building. If the stake is 30 feet from the pole, what angle does the cable make with the pole?

Q: Nico is resting on a 3m high tree house and watching the top of a pole 5m from the tree. if the…

A:

Q: An air traffic controller on top of a 300-foot airport tower looks up and sees a balloon. The angle…

A: An air traffic controller on top of a 300-foot airport tower looks up and sees a ballon.The angle of…

Q: the angle of inclination from the base of skyscraper A to the top of the skyscraper B is approx 10.6…

A: We have, the angle of inclination from the base of skyscraper A to the top of the skyscraper B is…

Q: A retail company is installing a ramp outside its building to make it easier to roll merchandise on…

A: Find your answer below

Q: A jogger runs along two sides of an open rectangular lot. If the first side of the lot is 200 ft…

A: A simple concept of trigonometry can be used to calculate the required angle.

Q: What is the measure of the angle (with the ground) formed by a 11 ft ladder leaned against the top…

A: We know for a right angled triangle, sinθ=heighthypotenuse

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 20 foot ladder leans against the a house forming a 75 angle with the house. Exactly how far is the…

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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…

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Q: A 12-foot metal guy wire is attached to a broken stop sign to secure its position until repairs can…

A: Explanation and Solution is given below....

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

A:

Q: A mason wants to be sure she has a right corner in a building’s foundation. She marks a point 3 ft…

A: Given,           A mason wants to be sure she has a right corner in a building’s foundation. She…

Q: The stairs at a school with a height of 5.5 m are broken and totally fall apart. At an angle of 35…

A: Find your answer below

Q: The Statue of Liberty is approximately 305 feet tall. If the angle of elevation from a ship to the…

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Q: fence that is 2.5 m long has started to lean and now makes an angle of 77° with the ground. A 3 m…

A:

Q: From the top of a cliff 280 meters high, the angle of depression of a boat is 25°. How far from the…

A: We  Have to determine from the base of the cliff is the boat?

Q: A building is 50 ft high. At a distance away from the building, a person notices that the angle of…

A:

Q: The angle of depression from the top of a building to the base of a car is 60∘. If the building is…

A:

Q: The Statue of Liberty is approximately 305 feet tall. If the angle of elevation of a ship to the top…

A:

Q: The base of a ladder is 6 ft from the building, and the angle formed by the ladder and the ground is…

A:

Q: If you place a 18 ft. Ladder 3 ft. From the base of the wall, what is the angle measure of the…

A: The cosine of an acute angle (A) in a right angles triangle is given by:   cos(A)=Side adjacent to…

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: A35-foot tall pole is leading towards a building.To stop the pole from leaning further, a 48-foot…

A: A pole of height 35 feet  and a supported cable of length 48 feet which is at a distance of 30 feet…

Q: An extension ladder, which is 65m long, rests on top of a hook-and-ladder truck. The base of the…

A:

Q: 35-foot tall pole is leading towards a building. To stop the pole from leaning further, a 48-foot…

A:

Q: A 20 meter long cable is used to support a telephone pole, holding it perpendicular to the ground.…

A:

Q: A 12-ft-long ladder is leaning against a wall and makes an 80° angle with the ground. How high up…

A: first of all we draw the diagram for given situation,

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: A radio transmission tower is 205 feet high. How long should a guy wire be if it is to be attached…

A: A radio transmission tower is 205 feet high . We find how long should a guy wire be if it is to be…

Q: From the top of a 213-ft lighthouse, the angle of depression to a shop in the ocean is 17°.  How far…

A:

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: Two gears are adjusted so that the smaller gear, with a radius of 12.4cm, drives the larger one. If…

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: to illuminate the entrance of an apartment building, a night light is mounted on a 6.6 meter tall…

A: Ans-15.376 degree,detailed solution I have uploaded ...hope you will get it...thanks

Q: A billboard, 54 feet wide, is prependicular to a staright road and is 18 feet from the nearest point…

A:

Q: The angle of elevation from the top of one building to another is 26°. If the shorter building is…

A: We can use  the tangent to find this.........   tan 26°  =  (400  + h)1500     where (400 + h) is…

Q: A ladder rests against a building at a point that is 95 feet from the ground. If the ladder makes a…

A: A ladder rests against a building at a point that is 95 feet from the ground.The ladder makes a 37°…

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 man, standing on top of a building that is 1,000 feet high, looks down with an angle of depression…

A: Given,The height of the building is 1000 feet.The angle of depression is 12 degree.Let AC be the…

Q: A 45.0 – m guy wire is attached to the top of a 33.6 – m antenna and to a point on the ground. How…

A: The solution is given below

Q: In order to meet safety guidelines, a roof contractor determines that she must place the base of her…

A: Given that a roof contractor determines that she must place the base of her ladder 4 feet away from…

Q: A radio transmission tower is 180 feet high. How long should a guy wire be if it is to be attached…

A:

Q: What is the sum of the exterior angle measures, one at each vertex, of a triangle?

A:

Q: a hot air balloon at a 35° angle of elevation. 7) Lee, on the ground, looks up at Bruce If lee and…

A:

Q: A 31-ft ladder leans against a building so that the angle between the ground and the ladder is 81∘.…

A:

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: If a loading ramp is placed next to a truck, at a height of 6 feet, and the ramp is 23 feet long,…

A: We need to find the angle ramp makes with the ground.

Q: Two support wires are secured to the ground 12 m from the base of a main support of a circus tent.…

A: Explanation of the answer is as follows

Q: The cables attached to a TV relay tower are 100 m long. They meet level ground at an angle of 60.0°,…

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.