Sam, Arnel and Adrian are participants in a math contest. The way they are seated in their assigned area forms a triangle. Sam and Arnel are 12 feet apart from each other. While Arnel is 7 feet from Adrian. If the angle formed at Adrian is 94°, how far is Sam from Adrian in nearest foot? A. 6 feet C. 8 feet B. 7 feet D. 9 feet

Q: Two tugboats that are a = 150 ft apart pull a barge, as shown. If the length of one cable is b = 216…

A: Use cosine formula.

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

A:

Q: 17 m 12 m

A: This form a right triangle so use the trigonometric ratio of tangent to find the unknown.

Q: This problem refers to triangle ABC. If a = 18 yd, b = 19 yd, and c = 20 yd, find the largest…

A:

Q: The 150-foot-long string of a kite you are flying is being pulled taut by the wind and makes an…

A:

Q: This problem refers to triangle ABC. If a = 35 cm, b = 15 cm, and c = 26 cm, find the largest…

A:

Q: The problem refers to triangle ABC. If a = 40 cm, b = 19 cm, and c = 36cm, find the largest angle.…

A:

Q: To find the distance from the house at A to the house at B, a surveyor measures the angle ACB, which…

A:

Q: To estimate the height of a tree, one person stands due north of the tree and a secondperson stands…

A: As the distance between the tree and the two people are equal thus let the distance between the tree…

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A:

Q: This problem refers to triangle ABC. If a = 14 yd, b = 15 yd, and c = 16 yd, find the largest…

A:

Q: From the top of a fire tower a forest ranger sees his partner on the ground at an angle of…

A:

Q: Two tugboats that are a = 110 ft apart pull a barge, as shown. If the length of one cable is b = 202…

A: Given that We have to evaluate the angle formed by two cables

Q: This problem refers to triangle ABC. If a = 15 yd, b = 16 yd, and c = 17 yd, find the largest angle.…

A: Using cosine law c2=a2+b2-2ab cos C

Q: Two tugboats that are a = 130 ft apart pull a barge, as shown. If the length of one cable is b = 202…

A:

Q: A boat travels on a course bearing South 42 degrees East for 58 miles. How many miles south is the…

A:

Q: To find the distance from the house at A to the house at B, a surveyor measures the angle ACB, which…

A: The figure is given by To evaluate : The distance between house A and house B i.e., length AB

Q: The top of the building makes an angle of elevation of 40 degrees from a car parked on the ground.…

A: From triangle,tan40o = 60xx = 60tan40o = 71.50 mSo, the car is parked 71.50 m away from the base of…

Q: a.) Mr. Brown can wash his car in 15 minutes, while his son John takes twice as long to do the same…

A: Here I am attaching image so that you understand each and every step.

Q: The proper angle for a ladder is about 75 degrees from the ground. Suppose you have a 18 foot…

A: Suppose AC be the height of the ladder and BC be the distance of the base of the ladder from the…

Q: If a person standing at the top of the building of height 50 ft is looking at her daughter standing…

A:

Q: To find the distance from the house at A to the house at B, a surveyor measures the angle ACB, which…

A: Given: A surveyor measures angle  ACB, which is found to be 50°, and then walks off the distance of…

Q: solve for the missing angle, round your answer to the nearest degree

A:

Q: This problem refers to triangle ABC. If a = 39 cm, b = 15 cm, and c = 28 cm, find the largest…

A: Given  a=39 cm, b=15 cm & c=28 cm To find largest angle

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Q: 1 Diego needs to install a support beam to hold up his new birdhouse, as modeled below. The base of…

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Q: A helicopter is hovering 110 feet in the air over a landing pad. If the landing agent sees the…

A:

Q: To find the distance from the house at A to the house at B, a surveyor measures the angle ACB, which…

A: Given Data: The measure of angle C is: m∠C=10° The distance between A and C is: AC=50 ft The…

Q: While sailing toward a​ statue, a sailor in a boat observed that at a certain​ point, the angle of…

A: A sailor in a boat observed that at a certain​ point, the angle of elevation of the tip of the torch…

Q: Two tugboats that are a- 110 t apart pull a barge, as shown. If the length of one cable is b 202 t…

A: In this problem cosine law is used A2=B2+C2-2BCcos(A)

Q: person standing 397 feet from the base of a church observed the angle of elevation to the church's…

A: A person standing 397 feet from the base of a church observed the angle of elevation to the church's…

Q: Two tugboats that are a = 105 ft apart pull a barge, as shown. If the length of one cable is b = 214…

A:

Q: From the top of a fire tower, a forest ranger sees his partner on the ground at an angle of…

A:

Q: 27 31

A: Cosx = adjacent/hypotenuse Cosx = 27/31 x= cos^-1(0.8709) x = 29.42°

Q: To find the distance from the house at A to the house at B, a surveyor measures the angle ACB, which…

A:

Q: Find the angles of △ABC given that a=12, b=21, and c=19. Round your answers to the nearest tenth of…

A: We use cosine law and angle sum property to find out unknown angles of given triangle

Q: Two tugboats that are a = 110 ft apart pull a barge, as shown. If the length of one cable is b = 218…

A: topic - trigonometry angle formed by two cables is 28°

Q: The proper angle for a ladder is about 75 degrees from the ground. Suppose you have a 9 foot ladder.…

A: Consider the triangle:

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A:

Q: Out for a walk in Chicago, Morgan measures the angle of elevation to the distant Willis Tower, and…

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Q: Suppose that you are headed toward a plateau 50 meters high. If the angle of elevation to the top of…

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Q: A damsel is in distress and is being held captive in a tower. Her knight in shining armor is on the…

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Q: This problem refers to triangle ABC. If a = 42 cm, b = 14 cm, and c = 31 cm, find the largest angle.…

A: Here we use cosine rule to find the angle of the triangle:

Q: This problem refers to triangle ABC. If a = 12 yd, b = 13 yd, and c = 14 yd, find the largest angle.…

A:

Q: Two tugboats that are a = 145 ft apart pull a barge, as shown. If the length of one cable is b = 218…

A:

Q: The circus has arrived and they must put up the main tent in a field near town. A rope is tied from…

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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.