1. Use the formula x =v² sin 20 to explain why the projection angle that 32 maximizes the distance a projectile traves is 0 = 45° when ho = 0. Please refer to the problem and figure.

Q: In AXYZ, it is given that zz is a right angle. What characterizes the relationship between X and Y?

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Q: 1+ 1 А 3. Based on the trapezoid shown in the standard (x, y) coordinate plane above, what is the…

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Q: An airplane is approaching point P along a straight line and at a constant altitude I. At 3:00 pm,…

A: Let C and D be the position of the plane at 3:00 pm and 3:01 pm. P is the observation point.

Q: / Find the equation of the tangent through the Point P(I,4) with the angle of in Clination 8 = 60…

A: Given Point P(1,4) & inclination θ=60To find equation of tangent:

Q: 2. a. A boy is flying two kites at the same time. He has (250+ 0) feet of line out to one kite and…

A: Note:  We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Find the acute angle between the lines. Round your answer to the nearest degree. 7x - y= 4, 5x + y =…

A:

Q: 2- In order to read his book, Stephen uses a pair of reading glasses. When he bolds the book at a…

A: Solution

Q: If a, Band y are the angles of a triangle, what is the maximum value of sin a sin B sin y? Answer to…

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Q: Find the acute angle between the lines. Round your answer to the nearest degree. 4x - y = 2, 3x + y…

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Q: For numbers 11-14 consider trapezoid LOAF. L E F

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Q: 3. A carpenters wish to build a brick garage with an angle of 140 of roof meet (refers to Figure 1).…

A: Given  height of the pillar from ground is 4 m Let the height of left wall is h m In ∆BCE…

Q: A farmer wants to increase the triangular arger similar triangle. Using the informati ne used in…

A: Given: A farmer wants to increase the triangular area he has fenced off for his cattle  to graze…

Q: A gun is fired with angle of elevation 30o. What is the muzzle speed if the maximum height of the…

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Q: 2. Give the values of the six circular functions of the standard angle 0 generated by an arc whose…

A: I have solved the question 2 for you as we can solve one question in one session. f you want the…

Q: 25. Find the angle 0 that maximizes the area of the isosceles triangle whose legs have length e…

A: Given area from question:

Q: .-Calcula "x", si el área de la región del trapecio ABCD es 22 cm². BEX -C 4 m 7 m-

A: Given,           The area of ABCD is 22 cm2.

Q: 1. The lower edge of a picture is 4 ft., the upper edge is 9 ft above the eye of an observer. At…

A: The solution of given question is shown below.

Q: angles 8l a nor Zero veC a) Show that 0?

A: Theorem: If θ be the angle between two vectors a→and b→, then it must satisfy, a→.b→=a.bcosθ.

Q: The acute angle (in degrees) between the two straight lines y = 3x + 2 and y = 4x + 7 is closest to…

A: Given:- Two straight lines y = 3x + 2 and y = 4x + 7 Find the acute angle (in degrees) between the…

Q: While shopping at his local home improvement store, Chen noticed that the directions for an xtension…

A: To find the length of ladder  The figure is

Q: To find the points on the cone z? = x² + y² that are closest to the point (5,2,0) , we need to solve…

A: Given  z2=x2+y2 let the P (5,2,0) and P (x,y,z) so, d = x-52+y-22+z-02 d=x-52+y-22+z2d=…

Q: Af noon, ship A is 20 kilometers north of Ship B. Ship A is fraveling south at 50 kilometers per…

A: Ships at Initial positions = A and B Positions of ships after time t =C and D Then AC=50t (in Km)…

Q: 7.2 a and zh are alternate exterior angles, thus their measurements are complementary supplementary…

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Q: If y/z= 0.7,  what is the measure of alpha to the nearest degree?

A: Given Data: The ratio of y to z is: y/z=0.7 The given triangles area right angle triangles and a…

Q: If the ratio of 2x to 5y is 3 to 4, what is to ratio of x to y?

A: The answer is found in step-2

Q: 1. Andrew is trying to land a plane, the plane descends at a steady rate. When it is 22 ground miles…

A: The height of the plane is AC= 2.2 miles. The distance of the plane from the airport is AB= 22…

Q: If V makes an angle u with the positive x­axis when in standard position, then) Vx ) 5 _____________…

A: The given statement is "If V makes an angle u with the positive x­-axis when in standard position,…

Q: and 9 meters above the floor, respectively. Assume that the best vies of the painting is obtained…

A: Please find the attached image for solution

Q: Solve for the remaining parts of ABCA, Illustrate and label the right triangle. 1.] Given a = 3.2 ft…

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

Q: 3. Find the solution for a circular dru conditions are

A: Given: The equation are, ∇2 u + k2 u =0 ......(1) With u=0 when r = R

Q: 1. GR intersects TV at point O. ZTOR is an obtuse angle.

A:

Q: Where should the point P be chosen on line segment AB so as to maximize the angle ?? (Assume a = 2…

A: Let the distance of point P from point A on line segment AB be x and let the angle opposite side a…

Q: b) flx)= + Arcsin lenx) ,Dp=! %3D Jex+1|-3

A:

Q: 4. The base of a painting on a wall is a feet above the eye of an observer. The vertical side of the…

A: In above diagram ∠1 = θ, ∠2 = α

Q: A certain cubical the was thrown 96 times and shows 2 upwards 184 times. Is the the biased?

A: a dice  thrown 96 times and shows 2 upwards 184 times.   to determine, this dice is biased or…

Q: Evaluate fc (2 +x 2y ) ds, where is the upper half of the unit circle x2 y2 =1

A: We have to evaluate ∮C2+x2ydS   where C is the upper half of the unit circle x2+y2=1

Q: 2. A man is viewing a large oil painting which is on display at the Millenium Art Gallery. In order…

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Q: A vehicle driver left the Location (1) and traveled to the north with speed equal to 30 Km/hr, then…

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Q: Situation 4] Two tangents that intersect at an angle of 4X°40' are to be connected by a compound…

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Q: c) Two poles, one 6 m tall and one 15 m tall, are 20 m apart. Alength of wire is attached to the top…

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Q: Provide two different examples with detail where a straight angle is used to solve a problem 1.

A: We will solve the following

Q: 1. In the example above, what is the height of the tunnel 12 ft away from the center towards the…

A: From the  example above,                                      We can see that we are using the…

Q: Two buildings are facing each other from opposite sides of the street. One building is 75 feet tall…

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Q: 25. Use the exterior angle theorem to solve for x, then find the mZBCD- (3x+ 10)° 40 (2x + 20)°…

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Q: The local town is planning to build a highway that will intersect the borders of the field at points…

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Q: 1, Tell whether AB is tangent to arcie C. 20 16 8.

A: We have the given circle C. The length of AB=16 units. The length of AC=8 units. The length of BC=20…

Q: If straight lines ax+by +p = 0 and xcosa + y sina -p=0 include an angle n/4 between them and meet…

A: Introduction :

Q: 3. If it takes 3 seconds for the airplane to travel from position A to position B, what position…

A:

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.