Sara is flying a kite at the park. The angle of elevation from Sara to kite in the sky is 53° and the length of the string is 32 feet, If Sarah is 5 feet tall, how far off the ground is the kite? A) 23.4 feet Halloween B) 25.6 feet St. Patrick's Day C) 27.2 feet President's Day D) 28.4 feet Valentine's Day E) 30.6 feet the 4th of July © Gina Wilson ("All Things Algebra"), 2014

Q: For another proof of the Pythagorean theorem, consider a right triangle ABC (with right angle at C)…

A: Since, according to our guideline we have to answer only first question. I am answering first one.…

Q: A boom is supported by two cables, as shown. Cable BD is 28.3 ft long, and cable CD is 44.7 ft long.…

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Q: Consider ACAT (not shown). Which angle is included by sides AT and CT? a) OZA b) O2C c) O ZT

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Q: Two supplementary angles are congruent. Find their measures.

A: Two Supplementary angles are congruent. This means that their measuresare equal.  ⇒m ∠A = m ∠B

Q: ABCD is an isosceles trapezoid, E and F is the midpoint of line AB and CD respectively. If BC = 14cm…

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Q: 4 For the quadrilateral (right), calculate: a the length JL, b angle KJL, c the length JM,

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: In trapezoid RSTV, RS || VT. a) Which sides are the legs of RSTV? b) Name two angles that are…

A: Consider a trapezoid:   Here, RS∥VT i.e. RS is parallel to VT.

Q: Consider the diagram and angle measurements shown below. m21 = (x + 14)° m23 = (3y + 7)° m24 = (5y –…

A: Ans is given below

Q: In quadrilateral ABCD, it is given that AB = CD and BC = DA. Prove that angles ACD and C AB are the…

A: Given: in quadrilateral ABCD if AB=CD and BC=DA prove angle ACD and angle CAB are of same size

Q: The angle at the vertex of a cone is measured using a 30mm diameter coin as shown in the figure…

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Q: Find the measure of angle y, given that EF CB. A 40 F G 60 O 100 O 40 O 80 O 60 B. E O O OO

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Q: Show use of trigonometry to determine the size of angle ZPRQ in the triangle below, where 2QPR =…

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Q: . Given that ZDAB and ZDCB are right angles and MZDBC = 42º, what is the measure of CAB? %3D D. B.

A: Given, ∠DBC=42° To find Arc CAB

Q: The interior angle of a rhombus is 64o and the shorter diagonal is 24 cm. Compute the area of the…

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Q: How long is the side adjacent to angle A?

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Q: In the acconpanying diagram of A ABC, a right angle is at C, AB = 8, and AC = 4. Find BC. %3D A 12…

A: By the Pythagoras theorem, AB2=AC2+BC2

Q: Find the area of a rhombus if its longer diagonal measures 18 ft. and the interior angle opposite of…

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Q: Label the sides based on angle A* 50 C 40 30 50 30 40 Opposite Adjacent Hypotenuse

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Q: A bike is 80 long and has an end height of a 3 feet, as shown below. what is the measure of angle…

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Q: Given: DE = EC, Angles D and C are right angles Prove : <B E< A B E A.

A: Since you have posted multiple questions and we can answer one question. So, answered first…

Q: P is a point on BC of the triangle ABC such that AB = AC = BP. If PA = PC, find the measure of angle…

A: The triangle ABC is shown below.

Q: A В 44° AB= DC= BD= 12.3 m<CAD= 7.9 m<ACD= 44° m<ADC= C

A: The given figure is a Rhombus Some of the properties of the Rhombus are, 1) all the sides are…

Q: In AABC pictured, AD is the angle bisector of LA. If BD = 5, CD = 6 and AB = 8, find AC. B. %3D %3D…

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Q: What is the length of AC?

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Q: A rescue helicopter hovers at an altitude of 525m over to fishing boats. if an angle of depression…

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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.

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A: Given: we have to given a line segment which has to be divide into 2:3 ratio

Q: The 14-in. square concrete column shown in the figure is hoisted using a chain that is 80in. long.…

A: Concrete column is a square crossection with side a = 14 in Chain total length l =80 in

Q: Given that A GRA -A TRE answer the question below, E Match the corresponding sides and angles. Angel…

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Q: In AXYZ, ZXYZ is trisected by YW and YV. With angle measures as shown, find mZZ. 63 95 V

A: Given: In ∆XYZ, ∠XYZ is trisected by YW and YV. m∠YXV=63° and m∠YWV=95° as shown in the figure.…

Q: 1. Tina is constructing an angle congruent to ZABC. What is her next step?

A: For constructing an angle congruent to ∠ABC we need to follow the below steps: 1. Draw a line and…

Q: Given that cosg is negative and tang is positive, in what quadrant does the angle terminate? O II IV

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Q: For AWTE, WS is an angle bisector. ES = x, EW 70, TW = 55, and TE 100. %3D

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Q: With the circle inscribed in triangle RST, it follows that RM = RP, SP = SN, and TM = TN. True or…

A: According to two tangent theorm The two tangent theorem states that if we draw two lines from the…

Q: 225 106" В B. A, A,

A: Given - Geometrical Figures To Find - Angles

Q: D C В Q. Which two angles are congruent by the Vertical Angles Theorem?

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Q: Given the side measurements, classify the triangle. 9, 15, 19 A Acute B Obtuse C Right

A: The side length of the triangle are : a = 9, b = 15 and c = 19 To evaluate : The type of the…

Q: What value of I would prove that ray AB is an angle bisector of ZCAD? C (2x+10)B (x+ 15)°

A: Given that ∠CAB=2x+10  , ∠BAD=x+15   and Ray AB is angle bisector of ∠CAD   i.e ∠CAB=∠BAD   i.e…

Q: For AWTE, WS is an angle bisector. ES х, EW 70, TW 55, and TE 100. %3D

A: Solution: The objective is to find the value of ST

Q: To unload groceries from a delivery truck at the Piggly Wiggly Market, an 8-ft ramp that rises 4 ft…

A: Let the measure of ramp AD is 8-ft that rises the length AB=4-ft to the door of the trailer as shown…

Q: What is the measure of angle KNM, in rhombus KLMN? K 11.4 in 17 in m2 55° m1 M N O 55° 35° O 70°…

A: Explanation of the answer is as follows

Q: What is the value of angle t given the point P(-, ).w here 0 st< 2n?

A: NOTE: Refresh your page if you can't see any equations. . the given point is  the x and y…

Q: A triangle has side lengths of 8 cm, 9 cm, and 14 cm. OClassify it as acute, obtuse, or right. A.…

A: Ans (1) we have given side lengths of a triangle8 cm , 9 cm , 14 cm⇒ Let a = 8, B= 9, c=14⇒Adding…

Q: Determine which figure shows supplementary angles. b) c) d) e) f) 1/2 .....

A: Definition : Supplementary angle : Two angles are said to be supplementary if their sum is 180° .…

Q: If ST is not parallel to RU, what is m2U? T. 66° m2U %3D Submit

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

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Q: A sandwich shop in Campbell polled its customers regarding their favorite sandwiches. Sandwich…

A: Data visualization is the process of denoting the numerical data visually. Data visualization can be…

Q: A funnel used to pour oil into an engine is in the shape of a cone. The sides of the cone are 15cm…

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Angles

In mathematics, angles constitute a very important part. Just like the concept of lines, an angle is a necessary figure that is used for measurement. How do you define its formation? It is formed when two or more lines meet at a point. The point at which two or more lines meet is known as the vertex. When the lines get inclined at this point, they do form various angles. Angles are measured from the vertex in terms of degrees.