A person standing 234 feet from the base of a church observed the angle of elevatlon to the church's steeple to be 22°. How tall Is the church? (Give your answer to the nearest whole number) feet

Q: A radio tower is located 425 feet from a building. From a window in the building, a person…

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Q: From the top of an incline road, 256 feet long, a vertical tower at the bottom subtends an angle of…

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Q: The Washington Monument in Washington, D.C. is 555 feet tall. If a tourist sees the monument with a…

A: The Washington Monument in Washington, D.C. is 555 feet tall and a tourist sees the monument with a…

Q: A surveyor is standing 50 feet from the base of te tree. The surveyor measures the angle of…

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Q: A radio tower is located 300 feet from a building. From a window in the building, a person…

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Q: In a circle of radius 5 miles, the lengths of the arc that subtends a central angle of 6 radians is…

A: We have:    Radius of the circle(r) = 5 miles.     Central angle = 6 radians.  Thus, θ = 6 radian.…

Q: If you stand 35 feet from the bottom of a movie screen and the screen is 75 feet tall, what is the…

A: If you stand 35 feet from the bottom of a movie screen. The screen is 75 feet tall its make a…

Q: When a six-foot pole casts a four-foot shadow, what is the angle of elevation of the Sun? Round to…

A: A six-foot pole casts a four-foot shadow. Now the diagrammatic representation is,

Q: From a point on the ground 13 feet from the base of a flagpole, the angle of elevation to the top of…

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Q: Suppose a 15-foot ladder leans against the side of a house so that the angle of elevation of the…

A: The objective is to find the distance of the base of the ladder from the side of the house.

Q: On a circle of radius 14 ft, how long is an arc that subtends a central angle of (a) 4pi/7 radians?…

A: Length of an arc substracting an angle θin radiansat the centreis given by ,l=θrwhere r : radius…

Q: A building 230 feet tall casts a 40-foot-long shadow. If a person stands at the end of the shadow…

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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: Find the value of the angleθ in degrees rounded to the nearest tenth of a degree.

A: Given-  To Find- The value of the angle θ in degrees rounded to the nearest tenth of a degree.

Q: If you stand 25 feet from the base of a tree on level ground and the angle from ground to the top of…

A: Given information: Consider AB is the height of the tree, and BC is the distance from the base of…

Q: A radio tower is located 350 feet from a building. From a window in the building, a person…

A: The angle of elevation to the top of the tower = 28° The angle of depression to the bottom of tower…

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: To find the height of a tree, a person walks to a point 30 feet from the base of the tree and…

A: Let height of tree be ABNow in triangle ABCtan 57 = PerpendicularBasetan 57 = ABACAB = 30 tan 57AB =…

Q: After a hurricane, a homeowner examines trees on his property for damage. He thinks a 21-ft palm…

A: Given, the tree is considered to be slightly inclined vertically. So, the height of the tree will…

Q: What is the meaning of “an angle with measure 2 radians”?

A: Our Aim is to tell the meaning of "an angle with measure 2 radians".

Q: A person is standing 32 feet away from the bottom of a tree. If the angle of elevation to the top of…

A: A triangle is a polygon having three sides and three vertices. Sum of interior angles of triangle is…

Q: If a loading ramp is placed next to a truck, at a height of 4 feet, and the ramp is 20 feet, what…

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Q: 1) Charlie is standing 250 feet from the base of a tall building. If he determines that the angle of…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Use the sine law to determine the measure of angle C, to the nearest degree, given that b = 89.4 ft,…

A: Given:-  b= 89.4 ft, angle B = 72°, and c = 36.3 ft. To find:- Angle C

Q: The empire state building is 1250 ft tall and approximately 3.0 mi from the brooklyn bridge. From…

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Q: From a boat on the lake, the angle of elevation to the top of a cliff is 29 degrees 4’. If the base…

A: Given that: Angle of elevation= θ =29°4' Base of the cliff = B = 380 feet To find H, the height of…

Q: A ladder 5 m long leans against a building. If the angle between the ground and the ladder is 57…

A: Given: according to given data figure will be Where; AC is length of ladder, BC is distance between…

Q: From the top of a tower 23 m high, a princess looks down at an angle of depression of 70 degrees.…

A: here we need to find the distance bc and ac. the solutio is following.

Q: From the top of a 163-ft lighthouse, the angle of depression to a ship in the ocean is 21°. How far…

A: Height of the lighthous and angle of depression is given. So first draw the digram then use the…

Q: A 500-ft guy wire is attached to the top of a communications tower. If the wire makes an angle of…

A: Given a 500 ft -guy wire is attached to the to a communications towerand makes an angle 65° with the…

Q: From a point of observation 135 meters from the base of a building, the angle of elevation to its…

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Q: When the angle of elevation to the sun is 37°, a flagpole casts a shadow that is 24.2 ft long. What…

A: Given, Angle of elevation to the sun is 37° Flagpole casts a shadow that is 24.2 ft long

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

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Q: What is the radian measure of a 270° angle? What is the degree measure of a 5p>4-rad angle?

A: Given: Angle 270° and 5π4 radian.

Q: A 84-ft tree casts a shadow that is 140 ft long. What is the angle of elevation of the sun? (Round…

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Q: How tall is a bridge if a 6-foot tall person standing 100 feet away can see the top of the bridge at…

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Q: A ship is just off the shore of New York City. A sighting is taken on the Statue of Liberty, which…

A: Given  Height = 305 feet  Base = 950 feet  We need to find the angle of elevation

Q: A 3000-lb car traveling uphill has a grade resistance of 150 lb. Find the angle of the grade to the…

A: Given: A 3000-lb car traveling uphill has a grade resistance of 150 lb.

Q: The angle of a depression from a lighthouse to a boat in the water is 14°. If the boat is 532 feet…

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Q: A 7-ft ladder leans against the side of a house. How far is the bottom of the ladder from the side…

A: Angle of elevation of ladder =64∘ Here we will apply cosine formula which is given as-…

Q: The windshield wiper blade on Julia's car is 21 inches long. Each swipe of the wiper makes an angle…

A: θ=lr Where l is length of arc and r is radius.

Q: A 15-ft ladder leans against a building so that the angle between the ground and the ladder is 74…

A: Let AB represent the building and AC represent the ladder. So the triangle formed by the ladder,…

Q: player is

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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: The angle of depression from a bird sitting on top of a telephone pole to the base of a tree is 63°.…

A: Let α1 be angle of depression. The height of pole is 18 feet. Let the distance between pole and tree…

Q: When a 10-foot tall flagpole casts a 9-foot shadow, what is the angle of elevation of the sun? If…

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Q: What is the approximate radian measure of an angle with a degree measure of 59.6º?

A: To convert degree in to radian, multiply by π/180°. Simplify it

Q: A person standing 239 feet from the base of a church observed the angle of elevation to the church's…

A: Angle of elevation = 44°  Distance from the base of church = 239 feet. Height of church =?

Q: A 32-ft ladder leans against a building so that the angle between the ground and the ladder is 79…

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Q: The radian measure of an angle of 334 degrees is

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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.