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

Q: A building that is 150 feet tall casts a shadow 50 feet long. What is the angle of elevation of the​…

A: given that a building is 150 feet long and casts a shadow of 50 feet long. We need to find the angle…

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

A:

Q: In the evening, a tree that stands 12 ft tall casts a long shadow. If the angle of depression from…

A: Since, it is given that in the evening a 12 ft tall tree cast a long shadow,Also, it is given that…

Q: Find the degree measure of the angle formed by the hands of a clock at 5:00 in the afternoon.

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Q: a 22-foot ladder leaning against a building makes a 70-degree angle with the ground. how far up the…

A:

Q: A fisherman at sea observed that the angle of elevation of a cliff is 21°. What is the distance…

A:

Q: A lighthouse is 20 feet tall, and a boat is 50 feet from the base of the lighthouse. What is the…

A:

Q: To measure the height of the cloud cover at an airport, a worker shines a spotlight upward at an…

A: Given, To measure the height of the cloud cover at an airport, a worker shines a spotlight upward at…

Q: A slide 4 m long makes an angle of 27 degrees with the ground. How high is the top of the slide…

A: Given,          A slide 4 m long makes a angle of 27 degrees with the ground.

Q: A lamppost casts a shadow of 18 ft when the angle of elevation of the Sun is 33.7°. How high is the…

A: Draw the diagram from the given information.

Q: Find the angle of elevation of the sun when a 42 foot tree casts a shadow of 68 feet.

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Q: Find the reference angle of 55 degrees.

A: Let, the given angle , θ = 55°Reference angle is always the smallest angle that we can make from the…

Q: what is the angle of elevation of the sun when a 47 ft mast casts a 32 ft shadow

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Q: . A lamppost casts a shadow of 18 ft when the angle of elevation of the Sun is 33.7°. How high is…

A: Length of shadow=18ft Angle of elevation=33.7 degree

Q: A tree casts a shadow of 14.7 meters when the angle of elevation of the sun is 13.1 degrees. How…

A: A tree shadow of 14.7 meters  angleof elevation of the sun is 13.1 degrees. To find :- Height of a…

Q: A 107 feet tall building casts a shadow of 90 feet. To the nearest whole degree, what is the angle…

A: Given: -

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

A:

Q: A flagpole casts a shadow that is 15 feet long. The angle of elevation of the sun at this time is 40…

A: Drawing a figure to represent the given data will simplify the question for us. After that we will…

Q: 3. Find the angle of elevation of the sun from the ground to the top of a tree when a tree that is…

A: As per our guidelines we are supposed to do only first question among multiple questions. To get the…

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 building that is 240 feet tall casts a shadow 40 feet long. What is the angle of elevation of the…

A:

Q: A person standing 188 ft from the base of a church observed the angle of elevation to the church's…

A: Given:  The person standing 133 ft from the base of church observed the angle of elevation to the…

Q: To measure a stone face carved on the side of a​ mountain, two sightings 750 feet from the base of…

A:

Q: From a point on level ground 120 feet from the base of a tower, the angle of elevation is 48.3°.…

A: Definition used -             trigonometric ratio -             In a right angle triangle -…

Q: Find the height of a tower if the angle of elevation of its top is 68° and when seen from point P on…

A:

Q: The most powerful lighthouse on Lake Michigan is 50 m tall. Suppose you are in a boat just off the…

A:

Q: A 20-ft ladder leans against a building so that the angle between the ground and the ladder is 72…

A:

Q: . The Sears Tower in Chicago is 1454 feet tall and is situated about 1 mile inland from the shore of…

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: If the shadow cast by a 600 feet tall tree is 1648.48 feet, find the angle (to the nearest tenth of…

A: Let AB represents the tree and BC represents the shadow, Then angle C is the angle of elevation of…

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

A:

Q: A building 34.65 feet tall has a shadow that is 38.65 feet long. Find the angle of elevation of the…

A:

Q: A building that is 210 feet tall casts a shadow 70 feet long. What is the angle of elevation of the…

A: From the given problem the represented diagram is as shown below. Let the angle of elevation of the…

Q: A person standing 100 feet from the bottom of a cliff notices a tower on top of the cliff. The angle…

A: Given that  A person standing 100 feet from the bottom of a cliff. The angle of elevation of the top…

Q: A bird is on perched on top of an 18 feet high flagpole. If the angle of depression of its direct…

A:

Q: Find the angle of elevation of the sun when a 20 ft. pole casts a shadow 40 ft. long on level…

A: NOTE: Refresh your page if you can't see any equations. . here we have AB=20 feet (height of the…

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

A: The length of a shadow of a flagpole 55.20 ft. tall is 27.65 ft. Let θ be the angle of elevation of…

Q: A person in a small boat, offshore from the vertical cliff known to be 100 feet in height, takes a…

A: Given  It has to find distance from a person to base of plateau. Here p=100 feet's

Q: The angle of depression of a submarine from another ship is 28 degrees. The submarine is 791 feet…

A:

Q: A building 290 feet tall casts a 100 foot long shadow. If a person stands at the end of the shadow…

A: Given,Height of building = 290 feetShadow length = 100 feetThe person’s height = 5 feet

Q: . If the angle of elevation of the sun is 63.4 when a building casts a shadow of 37.5 ft., what is…

A: NOTE: Refresh your page if you can't see any equations. . here we have AB=x feet (height of the…

Q: A coconut tree is casts a shadow of 20 feet long. The angle of elevation of the sun is 30 degree.…

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

A:

Q: What is the angle of elevation of the sun when a 42-ft mast casts a 12 ft shadow?

A:

Q: A 110 ft. tree casts a shadow that is 302 ft. long. What is the angle of elevation of the sun? 40° O…

A: According to the given problem, the represented diagram is as shown below; Let, the angle of…

Q: The angle of elevation from a fishing boat to the top of a lighthouse is 5°. If the top of the…

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 radian measure of an angle of 334 degrees is

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.