Find the unknown angles in a triangle ABC

Q: 3. On a windy day, a 90 foot rope tightly secures a hot air balloon to a stake in the ground. From…

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Q: In ARST, the measure of ZT=90°, RS = 4.9 feet, and ST = 2.7 feet. Find the measure of ZS to the…

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Q: In ATUV, the measure of ZV=90°, UV = 3.3 feet, and TU = 9.8 feet. Find the measure of ZU to the…

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Q: BC is a tangent. If the measure of arc DC Is 3 less than twice the measure of In Circle O, AOC is a…

A: AOC is a diameter of the circle  Measure of arc DC is 3 less than twice the measure of arc AD.

Q: In AHIJ, the measure of ZJ=90°, IJ = 3.2 feet, and JH = 9.6 feet. Find the measure of ZH to the…

A: In given right angle triangle, ∆HIJ, IJ=3.2 and JH=9.6 So, opposite and adjacent side of angle H is…

Q: A 20 meter long cable is used to support a telephone pole, holding it perpendicular to the ground.…

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Q: 5. Solve for the missing angle. Given base 400 and height is 300. Use the figure below. 300 400 a.…

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the…

Q: a person standing 395 get from the base of a church observed the angle of elevation to the church…

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Q: Find the angle 0 between the lines 3x 5y = 3 and 3x + 5y = 12. Enter your answer in degrees, rounded…

A: Given lines are 3x-5y=3,  3x+5y=12

Q: Given a = 14 and b = 22, find the missing side and angles in the right triangle, where a is the side…

A: Consider a right-triangle with the given sides and angles.

Q: To measure the height of the cloud cover at an airport, a worker directs a reflector upwards at an…

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Q: メ 19. DE is a midsegment of triangle ABC. Find the value of x. * D 5. 2. O 5 O 10 O 15 O 20

A: The midpoint theorem state that the line joining the two midpoints of two sides of a triangle is…

Q: The triangle ABC has AB=13 cm and BC =15 cm. Given that BCA= 60°, determine the possible values of…

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Q: Find the area of a triangle ABC when m<C = 14 degrees, a = 5.7 miles, and b = 9.3 miles.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: In AOPQ, the measure of ZQ=90°, QO = 5.9 feet, and OP = 8 feet. Find the measure of ZP to the %3D…

A: From the given figure,  PO=8 ft QO=5.9 ft

Q: Given a triangle ABC, where ∠C is obtuse, construct triangle PCB having the same area and with ∠P =…

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Q: Solve for the remaining sides and angles if possible (if not, answer "DNE" in all answer boxes). As…

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Q: In AMNO, the measure of ZO=90°, OM = 1.8 feet, and NO = 4.1 feet. Find the measure of ZM to the…

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Q: Find the angle A in a triangle ABC, if angle B= 72° and sides b 14 cm, a = 6 cm. 024.05° O None of…

A: The Law of sines relates an angle and its opposite side to another angle and its corresponding…

Q: 3. In a theatre, two attached spotlights make an angle of 100°. One shines on Ben, who is 30.6 feet…

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Q: 8. 2x x + 39 7x + 53 3x + 85 9.

A: First I have written about opposite angle and then using them solve the given problems.

Q: In AABC, the measure of ZC=90°, CA = 7.3 feet, and AB = 8.6 feet. Find the measure of ZB to the…

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Q: 2. A surveyor determines that the angle of elevation of the top of a building from a point on the…

A: Explanation and solutions is given below....

Q: Two sidesof a triangular garden measures 6.8 yds and 13.1 yds. If the angle formed betweem these two…

A: Two sidesof a triangular garden measures 6.8 yds and 13.1 yds. If the angle formed betweem these two…

Q: Given a = 21 and c = :26, find the missing side and angles in the right triangle, where b across…

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Q: Use the figure to solve triangle ABC. Round lengths of sides to the nearest tenth and angle measures…

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Q: Ina triangle AABC, right angled B, AB=7cm, and (AC - BC) =1cm. The value of (sec C+ cot A) is:* 4 3…

A: Let BC= xSo, AC=x+1We know thatAB2+BC2=AC2 (By Pythagoras theorem)49+x2=(x+1)2…

Q: Find the distance, d, across the river. Assume that the triangles are similar and the ratio of d to…

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Q: Solve for the remaining sides and angles if possible (if not, answer "DNE" in all answer boxes). As…

A: given a=7b=8c=14

Q: Find the distance, d, across the river. Assume that the triangles are similar and the ratio of d to…

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Q: In AOPQ, the measure of ZQ=90°, PQ = 3.6 feet, and OP = 4.3 feet. Find the measure of Z0 to the…

A: Given triangle OPQ is right angled.

Q: 1. Describe the relationship between the remote interior angles and their exterior angle in a…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Consider D ∈ (BC) the bisector leg of the angle A of the triangle ABC. a) If AB = AC = 3 and…

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

Q: Find the unknown angles in a triangle ABC with C=82.2∘C=82.2∘, a=10.9a=10.9 km, and c=7.62c=7.62 km.…

A: It is given that ∠C=82.2°, a=10.9Km, c=7.62Km. Since there are two side and one angle given, this…

Q: Jezebel is trying to figure out if cosine of an angle is dependent on the angle itself or the…

A: The given triangles are  The objective is to find the value measure of angle θ.

Q: i In right triangle ABC, hypotennse AB has a length of(26 cm, and side BC has a length of 17.6 cm.…

A: Given that ABC is a right angle triangle, hypotenuse AB has a length of 26cm and side BC has a…

Q: 17.49 11.71 42°

A: X= 11.36

Q: Identify the similar triangles, find x and the measures of the indicated parts. 6. AB 2x 14E B 3,

A: We have to find the value of x and AB.

Q: Find the unknown angles in a triangle ABC with B=48.2∘, a=890 cm, and b=697. If there is no triangle…

A: Given: ∠B=48.2°a=890 cmb=697 cm

Q: In AMNO, the measure of ZO=90°, NO = 1.8 feet, and OM = 3.6 feet. Find the measure of ZM to the…

A: We have to find angle M

Q: c) Find the length a, and the angle a for the triangles below. 20 40 ft 26.3 cm a 27.5 cm

A: Right angle triangles are given.

Q: Solve for the remaining sides and angles if possible (if not, answer "DNE" in all answer boxes). As…

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Q: Find the exact values of r and y given B = 62°, and x = 5. B Note that values of angles should be…

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Q: In the given figure,segments CA and CB are tangents to O 0. Write an expression for the angle MADB…

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Q: In AMNO, the measure of ZO=90°, NO = 1.8 feet, and OM = 3.6 feet. Find the measure of ZM to the…

A: In a right angle triangle with respect to angle θ, the tangent function is defined as, tan…

Q: Right triangle ABC with C = 90°. In each case, solve forall the missing parts using the given…

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Q: 46. A helicopter at point T is 200 meters above the sea MN. If the angles of depression of boat M is…

A: 46. The figure is given. The distance between helicopter and sea is 200 m. The trigonometric…

Q: Triangle ABC is translated to create triangle DFG, as shown below. F 2y +12 cm 2(2y-3) cm 3(2x + 10)…

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Q: D Yes No AA 7). 75 A By 40° 60° G E

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Q: Solve for the remaining sides and angles if possible (if not, answer "DNE" in all answer boxes). As…

A: In a triangle we have given that a = 10, b = 10 and c = 10 To find angles α, β and γ

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.