A radio transmission tower is 205 feet high. How long should a guy wire be if it is to be attached to the tower 18 feet from the top and is to make an angle of 45° with the​ ground?

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: 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: On a particular day, the distance of the Earth to the sun was 9.2x107 mi. and the distance from Mars…

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Q: On a test flight, during the landing of the space shuttle, the ship was 366 ft above the end of the…

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Q: In order to reach the top of a hill which is 250 feet high, one must travel 2000 feet straight up a…

A: Definition used -                           sinθ =OppositeHypotenuse

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: Suppose a 6-foot ladder is leaning against a building, reaching to the bottom of a second-floor…

A: Given:

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

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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: If an airplane makes a 15 degree angle of elevation From the runway when it takes off the plane is…

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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: A tower casts a shadow that is 154 feet long when the angle of elevation to the sun is 52°. How tall…

A: We use the definition of tan of an angle heretanθ =opposite sideadjacent side

Q: What is the angle of elevation created with the ground when a flagpole with a height of 20 feet…

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Q: If the angle of elevation from the ground to a tree is 40° from 108 feet away, how tall is the tree?

A: Let AB be the tree and C is the point on the ground. According to question, BC=108 feet and ∠C=40°.…

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: What is the angle of elevation to the kite if a kite is 40 feet off the ground and the string…

A: Consider the diagram drawn as per the given information, here the objective is to find the angle of…

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

A:

Q: an 35 foot ladder leaning against a house makes a 15 degree angle with the ground. How far up the…

A: The building, the ladder, and the ground form a right triangle.   where angle between ladder and…

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: A 51-foot wire running from the top of a tent pole to the ground makes an angle of 57° with the…

A:

Q: If the angle of elevation of the sun is 71° 30', how tall is a post that casts a shadow 1.3 feet…

A:

Q: A 28-foot long piece of wire is attached to the top of a pole at one end and nailed to the ground at…

A: Wire length = 28 foot Angle = 30°

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

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Q: A boy is singing Lupang Hinirang at a location in which the angle of elevation of the top of a 4-m…

A: A boy is singing Lupang Hinirang at a location in which the angle of elevation of the top of a 4-m…

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

A:

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

A: cos x = adjacent/hypotenuse

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

A:

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

A:

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

A:

Q: A cable wire is used to support a tower 250 m tall. If the cable makes an angle of 72" with the…

A:

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 guy wire is 13.8 yards long and is attached from the ground to a pole 6.7 yards above the ground.…

A: Given, A guy wire is 13.8 yards long and is attached from the ground to the pole 6.7 yards above the…

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

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Q: A girl is on the beach and the angle of elevation from her feet to the top of a lighthouse is 62° .…

A:

Q: how many meters above the ground is the balloon if there is no stack on the cable?

A:

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 curious math student standing on the roof of a building 36 feet above the ground decides to…

A:

Q: A large weather balloon is tethered by two ropes. The shorter rope is measures 20 feet and attaches…

A: The shorter rope is measures 20 feet and attaches to the balloon at an angle of 32 degrees from the…

Q: An 18-foot ladder leans against a building so that the angle between the ground and the ladder is…

A:

Q: A 73-foot rope from the top of a circus tent pole is anchored to the flat ground 43 feet from the…

A:

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: The length of a string from the center of a yo-yo to tip of Tony’s middle finger is 12 cm. If Tony…

A:

Q: A sprinkler on a golf course fairway is set to spray water over a distance of 70 feet and rotates…

A: Given, sprinkler rotates through an angle 48o and sprays water over a distance of 70 feet.

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

A:

Q: A 8-ft ladder leans against a building so that the angle between the ground and the ladder is 69 How…

A: Solve the following problem

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.