A giant right triangular sculpture has two legs with lengths 20 meters and 40 meters. What is the measure of the smallest angle in this sculpture? Round your answer to the nearest degree. O 15° O 27° O 30° O 43°

Q: Find the distance along an arc on the surface of the earth that subtends a central angle of 8…

A: Solution: The objective is to find the distance along an arc on the surface of the earth

Q: An 8-foot rope is tied from the top of a pole to a stake in the ground, as shown in the diagram…

A: Let, h be the height of the pole. Note : the triangle is a right angle triangle with hypotenuse 8 ft…

Q: An 85 ft. tree casts a shadow that is 147 ft. long. What is the angle of elevation of the sun? O 30°…

A: Topic:- geometry and trigonometry

Q: When a 25-ft ladder is leaned against a wall, it makes a 72° angle with the ground. How high up on…

A: Length of the ladder: 25 ft Let the height of wall be: x ft The ladder makes an angle of elevation…

Q: A cable from the top of a 200-ft telephone tower makes a 50° angle with the ground. How long is the…

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Q: From the earth, the moon subtends an angle of approximately 0.5°. If the distance to the moon is…

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Q: Find the distance along an arc on the surface of the earth that subtends a central angle of 2…

A: This is a question related to length of arc. Since the given angle of the earth with center is given…

Q: 13. 24 ft 12 ft

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Q: A 72.6-foot rope from the top of a circus tent pole is anchored to the ground 44.8 feet from the…

A: Given:        Height = 72.6 ft        width = 44.8 ft

Q: A triangular field has sides of lengths 38, 53, 64 ft. Enter your answer as a number; answer should…

A: Use cosine rule to find the largest angle: a2 = b2 + c2 - 2bcCosA b2 = a2 + c2 - 2acCosB c2 = a2 +…

Q: If a 22.5 meter building casts a 34-meter shadow, what is the angle of elevation of the sun? Round…

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Q: Find the distance along an arc on the surface of Earth that subtends a central angle of 7 minutes 1…

A: Convert degree to radian and use formula for arc length

Q: 16 In the right triangle shown below, what is the measure of angle S, to the nearest minute? M. 17 A

A: the given figure is: in the given right triangle, we have to determine the measure of the angle S…

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

A: We find out the angle of the elevation. Follow 2nd step.

Q: Find the angle measure of the blue sector below if the area of the blue sector is 277, and the…

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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: Given that ship's sonar finds the angle of depression to a wreck on the bottom of the ocean is 15.2…

Q: Consider the non-right triangle shown below that has side lengths of 1.6, 1.751 and 2.6 cm and…

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Q: Find the distance along an arc on the surface of the earth that subtends a central angle of 5…

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Q: A radio transmission tower is 567 feet tall. A guy wire is to be attached 6 feet from the top and is…

A: Given: The height of the radio transmission tower is 567 feet. And attachment of guy wire is to be 6…

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

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Q: The radius of the circle with a central angle of 4 radians intercepts an arc with a length of 94 cm.…

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Q: At a certain time of day, a 15 foot tree casts a shadow. If the angle of elevation of the sun is…

A:

Q: A central angle on a circle measures 135◦ and has a diameter of 7cm. Find the following values: (a)…

A: Length of arc is d2θ where d is diameter and θ is angle in radians:  d2θ=72135180×π       =2.625π cm

Q: Find the distance along an arc on the surface of the earth that subtends a central angle of 9…

A: 1 minute= (1/60)0 9 minutes=(9/60)o θ=(9/60)o

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: Find the measure of the indicated angle to the nearest degree. 1) 2) 10 23 5. 3) 42 49 45 57

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Q: Find the distance along an arc on the surface of the earth that subtends a central angle of 9…

A: Given data: *The centre angle substended is θ=9 minutes *The  radius of the earth is r=3960 mi The…

Q: A 200-foot-high construction is anchored to the ground by a wire. The wire is fastened to the ground…

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Q: What is the side opposite angle A (41 degrees)? Show Your Work C O CA O AT 410 TC A

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Q: Find the distance along an arc on the surface of the earth that subtends a central angle of 10…

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Q: What is the exact measure of an angle whose measure is 10 in radians? O 10TT 18 10

A: Solution of given question is written in below steps.

Q: Find the measure of the indicated angle to the nearest degree. 45 43 44° O 17° O 73° O 40°

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Q: The.height.of.a.right.circular cone is 23.7 centimeters. If the diameter of the base is 10.6…

A: Here, we need to find the angle made by the side of the cone with the base.

Q: 2. What is the angle of depression of the boat 150 meters from the base of a lighthouse that is 80…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: A radio transmission tower is 160 feet tall. How long should a guy wire be if it is to be attached…

A: We can make it easier for you.

Q: To find the distance between two small towns, an electronic distance measuring (EDM) instrument is…

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Q: A satellite calculates the distances and angle shown in the figure below (not to scale). Find the…

A: Given,  The distance of two cities from the satellite as 380 km and 370 km and angle between the…

Q: A round basket designed to hold a potted plant is hanging on a porch as shown in the figure. If the…

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Q: From the top of a 200 foot lighthouse, the angle of depression to a ship in the ocean is 13°. How…

A: Answer and explanation is given below..

Q: At an altitude of 3,500 ft, the engine on a small plane fails. What angle of depression is needed to…

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Q: Find the distance along an arc on the surface of the earth that subtends a central angle of 2…

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Q: 90 ft 5. A weight is supported by cables attached to both ends of a balance beam, as shown in the…

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Q: The angle of elevation to the top of a Building in New York is found to be 8 degrees from the ground…

A: The objective is to find the height of the building.

Q: 6. From the top of Mt. Banahaw 135m high, it is observed that the angle of depression of a ship is…

A:

Q: A triangular fence has sides that measure 11 yards, 30 yards, and 35 yards. What is the measure of…

A: Given that a triangular fence has sides that measures 11 yards,30 yards and 35 yards.  Here we have…

Q: Find the distance along an arc on the surface of the earth that subtends a central angle of 8…

A: We have to find  the distance along an arc on the surface of the earth that subtends a central angle…

Q: The top of an 18-ft waterslide is 14 ft above the ground. What angle does the slide make with the…

A: Given, Length of water slide = 18 ft  Length of vertical ladder = 14 ft  Angle between top of water…

Q: A satellite calculates the distances and angle shown in the figure below (not to scale). Find the…

A:

Q: A radio transmission tower is 358 feet tall. A guy wire is to be attached 6 feet from the top and is…

A: In this question we have to find how many feet long should the guy wire be.

Q: Find the measure of the indicated angle to the nearest degree. 89 80 39 O 26° O None of the other…

A: If the three sides of a triangle are given, any three internal angle of the triangle can be found…

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.