An airplane leaves City A and flies 131 km due north to City B. It then turns through an angle of 46° and flies 95 km to City C. What angle e with respect to due north could the pilot have used to fly directly from City A to City C? See the figure below.

Q: A ship traveling a straight course sights a lighthouse at an angle of A=16.5 deg as shown in Fig.…

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Q: Refer to the figure. Name an angle supplementary to <BEC. 48° C B.

A: From the given figure have to find the supplementary angle of BEC∠BEC is ∠AED

Q: For a triangle with sides a, b, c and opposite angles A, B, C,the Law of Sines states that_______

A: For a triangle with sides a,b,c and opposite angles A,B,C the law of sines states that:   The ratio…

Q: In the figure below, would it be possible for angle GCJ to be an obtuse angle? Why? G B Figure I

A: Solution: From the given graph Angle GCF=90°

Q: Find the measure of arc DC if angle DSC =73 and the measure of arc AB = 105. Round to the nearest…

A: given: In the circle,  ∠DSC=73, m(arcAB)=105   To determine: The measure of the arc DC

Q: Suppose arc AB shown below has measurement of 94 degrees and arc BC has a measurement 120 degrees.…

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Q: The angle of sector C is

A: Given: Rating frequency A 350 B 260 C 940 D 150 total 1700

Q: If 0 is an angle in standard position and its terminal side passes through the poir (24,-7), find…

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Q: If cos A = - 0.4567, what is angle A?

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

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Q: Given ZABC (as shown), provide a second correct method for naming this angle. . A C

A: According to given figure ∠ABC can also be written as ∠CBA

Q: If cotθ= 12/5 and θ is an acute angle, then what is the value of cosθ?

A: We will find the value of cosθ as following.

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: Use the Law of Cosines to determine the indicated angle ?. (Assume a = 135.5, b = 60.7, and c = 156.…

A: From the given data

Q: and that the angle at L is 82.6°. 435 112 82.6° T Figure 4

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Q: What would the values of A and h be based on the given triangle?

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

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Q: 1 Find angle B (To nearestdaqree), a-17 ft, b= 23 St., &C = 30 ft. b=23 St, :

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Q: C D 2 /1 В A

A: We will find the measurement of arc AC as following. Angle 2 measures to be 116 degrees.

Q: A side of the triangle below has been extended to form an exterior angle of 135°. Find the value of…

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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: An 18 ft. tree casts a 15 ft. long shadow as shown in the following figure. Which of the following…

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Q: . Find the radian measure of the largest angle of the triangle whose sides have lengths 8, 9, and…

A: SOLUTION-

Q: In angle ABC , BC = 19, AB = 12, and AC =14. Find angle B to the nearest degree

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Q: The terminal side of the angle & drawn in standard position intersects the unit circle (, - ). at…

A: To find: The value of csc θ. Given: The terminal side of the angle θ drawn in standard position…

Q: In terms of the cotangent of a positive acute angle, what is the expression for cot ? 17x Provide…

A: As we know that: cot2π-θ=-cotθ Since the angle 2π-θ is lying on the fourth quadrant. So, the…

Q: Use the given Figure to find the pace angle, to the nearest degree, for the herbivore. Does the…

A: Law of cosine: If A, B, C are the measure of the angles of a triangle and a, b, c are are the length…

Q: Use the law of cosines to find the angle of the triangle based off the sides listed below for…

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Q: Given the following triangle, what is sec(@)? 15 12

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Q: what is the answer to this problem?   Determine the reference angle associated with the given…

A: The given angle is θ=-152°.  The requirement is to find the reference angle of θ=-152° between 0° to…

Q: Find an angle a that is coterminal with an angle measuring 550°, where 0°sa< 360°.

A: We have to find the angle α that is coterminal with an angle measuring 550°, where 0°≤α&lt;360°.

Q: 2. A building is 102 meters high. How long should a guy wire be if it is to be attached to the tower…

A: Please refer to the image below.

Q: Find the reference angle and the value of c for the triangle pictured below since a=8 inches, b=15…

A: WE USE TRIGONOMETRY RATIOS  tan(x) = perpendicular/base  Pythagoras theorem  (Hypotenuse)2 =…

Q: An airplane leaves City A and flies 134 km due north to City B. It then turns through an angle of…

A: We have to find the angle A for the plane by which it could take a toor from point A to C.

Q: A ship sails 110 miles from Island A toward Island B, but then turns through an angle of 120 and…

A: let a,b and c are side opposite to angle A ,B and C respectively.

Q: Find the reference angle for 615°. TC 15

A: Explained below

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: The angle that a quarter of a revolution makes is equal to: None of the above O 45°

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Q: 33 8.

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Q: Two boats start their journey from the same point A and travel along directions AC and AD, as shown…

A: tanθ=oppositeadjacent

Q: Find the missing angles in the diagram below. Round to the nearest whole degree. 18 in. 20 in.

A: We use Trigonometry ratios  to find missing angle

Q: In the figure below, why is it that angle ICG is congruent to angle GCE? G B Figure I

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Q: This problem refers to triangle ABC. If a = 35 cm, b = 12 cm, and c = 27 cm, find the largest angle…

A: We know that the law of cosine :  a2 = b2 + c2 - 2 b • c cos ( A )  Here Angle A is the opposite…

Q: 230° A

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Q: 8 ft 2 ft 6.5 ft D. 1 ft CH

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Q: A tunnel is planned through a mountain to connect points A and B on two existing roads, as shown in…

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Q: Find the missing angles in the diagram below. Round to the nearest whole degree 25 feet 12 feet LA

A: Given,  The right angle triangle with hypotenuse = 25 feet  and perpendicular = 12 feet  We have to…

Q: what is the answer to this problem?  Determine the reference angle associated with the given angle.…

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