A man mowing his four-sided yard is unable to remember all of its dimensions. He remembers that one corner is 85°, another is 70°, and another is 105°. What is the measure of the fourth corner?

Q: What is the slant heigh l of one of the triangular faces? Round the answer to the nearest tent of a…

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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: A 200-foot cliff drops vertically into the ocean. If the angle of elevation from a ship to the top…

A: Let the distance of the ship offshore is x feet. A rough sketch of given situation is shown below…

Q: On a test flight, during the landing of the space shuttle, the ship was 366 ft above the end of the…

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Q: person standing 388 feet from the base of a church observed the angle of elevation to the church's…

A: According to the question, AB represents Chruch BC represents a person standing from the base of…

Q: If a 20-foot ladder makes a 65. angle with the ground, how many feet up a wall will it reach? Round…

A: We can easily found height of wall it will reach by ladder by using sine of angle .

Q: Haley planted a new tree in her yard.  To help the tree to grow upright, she attached support wires…

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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: You are putting together the frame of a fence gate as shown below: If the width of the frame is 3…

A: We use Pythagoras theorem

Q: From a tower 150 feet high with the sun directly overhead, an airplane and its shadow have an angle…

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Q: (80 - x) 3x 6.

A: We know that vertical opposite angles are equal.

Q: As Paula looks up at the top of the monument, she finds that the angle of elevation is 20 degrees.…

A: Given:Degree=20°Monument tall=5 meterstanx=opposite sideadjacent side

Q: In ANOP, the measure of ZP=90°, PN = 22 feet, and NO = 86 feet. Find the measure of Z0 to the…

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

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: In AUVW, the measure of ZW=90°, WU = 2.6 feet, and VW = 8.1 feet. Find the measure of ZU to the…

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Q: If you stand 50 feet from the bottom of a movie screen and the screen is 80 feet tall, what is the…

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

Q: A straight kite string makes an angle of 40° with the ground, as shown in the diagram. If y = 210…

A: It is given that the length of the string is 210 feet  and angle of the string with the ground is…

Q: In APQR, the measure of ZR=90°, QR = 61 feet, and RP = 9o feet. Find the measure of ZP to the…

A: Solution: The objective is to find the measure of x

Q: This problem refers to triangle ABC. If A = 59°, B = 61°, and c = 13 cm, find C and then find a.…

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Q: This problem refers to triangle ABC. If b = 4.7 m, c = 6.3 m, and A = 128°, find a. (Round your…

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Q: Suppose c = 12 and A = 45 degrees. Find:

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Q: This problem refers to triangle ABC. If A=50 degrees, B=60 degrees, and b=10cm, find a.

A: Given,

Q: the length of the shadow of a building 34.09m tall is 37.62m. Find the angle of elevation of the sun…

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Q: Find side a for triangle ABC round to 3 decimal places A=145°, B=17° c=9

A: Given A triangle ABC  ∠A = 145° ,  ∠B = 17°   and  c= 9   We have to the side a of the triangle ABC.…

Q: The hypotenuse of a right triangle measures 2v15 centimeters and its shorter leg measures 2V6…

A: The hypotenuse of a right triangle measures 215 cm and its shorter leg measures 26 cm. We have to…

Q: Consider the right triangle below B. 25 12 C. To the nearest degree, what is the value of 27

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Q: What is the angle of Angle A in a right triangle whose hypotenuse is 23cm and opposite side is 12cm?

A: Please see the diagram on the white board. It aptly explains the question. ABC is the triangle right…

Q: A boy is singing Lupang Hinirang at a location in which the angle of elevation of the top of a 4-m…

A: A boy is singing Lupang Hinirang at a location in which the angle of elevation of the top of a 4-m…

Q: This problem refers to triangle ABC. If a = 110 inches, b = 58 inches, and C = 60°, find c. (Round…

A: Given: In a triangle ABC we have  a = 110 inches, b = 58 inches, and C = 60 degree To find: length…

Q: You are putting together the frame of a fence gate as shown below: If the width of the frame is 3…

A: We know in a right angle triangle the formula of Pythagoras theorem is,…

Q: A surveyor set up his instrument at A and measured the angle of elevation of the top of a tower and…

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Q: This problem refers to triangle ABC. If a = 120 inches, b = 68 inches, and C = 60°, find c. (Round…

A: From the given data: The triangle ABC is shown as

Q: In AHIJ, the measure of ZJ=90°, IJ = 47 feet, and HI = 68 feet. Find the measure of H to the %3D…

A: Given that IJ=47 feet    , HI=68 feet Now by Pythagoras theorem , HI2=IJ2+JH2 Therefore the length…

Q: a man standing near a radio station antenna observes that the angle of elevation to the top of the…

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Q: The problem refers to triangle ABC. If A = 7°, C = 125°, and c = 570 yd, find a. (Round your answer…

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Q: This problem refers to triangle ABC. If b = 4.6 m, c = 7.2 m, and A = 126°, find a. (Round your…

A: by using cosine formula a2 = b2+c2 - 2bc cosA

Q: Solve for the indicated angle 4x 113° 2x + 9° 3x + 8°

A: Topic = Geometry

Q: From the top of a fire tower that is 45 feet high, a forest ranger sees her colleague on the ground…

A: From the top of a fire tower that is 45 feet high, a forest ranger sees her colleague on the ground…

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: In APQR, the measure of ZR=90°, QR = 61 feet, and RP = 90 feet. Find the measure of ZP to the…

A: The measure of the ∠P=34°. The triangle PQR is a right angle triangle. Use the tangent formula to…

Q: This problem refers to triangle ABC. If B = 120°, C = 20°, and c = 25 inches, find b. (Round your…

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Q: The hypotenuse of a right triangle measures 2v15 centimeters and its shorter leg measures 26…

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Q: In AXYZ, x = 24 inches, y = 43 inches and z=47 inches. Find the measure of Y to the nearest 10th of…

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Q: What is the formula to find the length of a triangle?

A: If the lengths of the sides are a,b,c then the length is represented by the perimeter  of triangle…

Q: From his eye, which stands 1.5 meters above the ground, Zachary measures the angle of elevation to…

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Q: This problem refers to triangle ABC. If b = 3.6 m, c = 6.8 m, and A = 122°, find a. (Round your…

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Q: The length of the hypotenuse of a 30°-60°-90° triangle is 4. Find the length opposite to 60° angle

A: Given: The length of the hypotenuse of a 30°-60°-90° triangle is 4. Find the length opposite to 60°…

Q: From the observation deck of a skyscraper, Jamal measures a 51° angle of depression to a ship in the…

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Q: The cables attached to a TV relay tower are 100 m long. They meet level ground at an angle of 60.0°,…

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