A quarterback releases a football with a speed of 44 feet per second at an angle of 30° with the horizontal?  (Express the factor in terms of i And j. If the exact values are not possible around components to the nearest tenth.)

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

A:

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: Consider a right triangle with a side of length x opposite angle A, a side of length y opposite…

A: We use Trigonometry ratios to solve this Question

Q: Consider a right triangle with a side of length x opposite angle A, a side of length y opposite…

A: We can find the value of y and z as below

Q: The distance between cities A and B on a map is 10.5 in. The distance from city B to city C, is 8.5…

A: Given that the distance between cities A and B on a map is 10.5 in and the distance from city B to…

Q: A nail needs to be removed from a piece of wood by a force applied at a 40-degree angle as shown. If…

A: The force on the diagram is shown in the sketch below,

Q: On a map, Orlando is 178 mm due south of Niagara Falls, Denver is 273 mm from Orlando, and Denver is…

A: Explained below

Q: Assume Za is opposite side a, 2B is opposite side b, and Zy is opposite side c. Solve triangle ABC…

A:

Q: The distance between cities A and B on a map is 12.75 in. The distance from city B to city C, is…

A: In this we have to calculate angle A then follow the basic angle rule I'm providing hand written…

Q: The Leaning Tower of Pisa, which has a height of 55.86 m from base to top, is leaning to the…

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Q: 6. The entrance of an indoor parking space is 1 m above the ground level. A ramp from the ground…

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

Q: Suppose the frame has a top tube length of 52.2 centimeters, a seat tube length of 49.0 centimeters,…

A: Given Top tube = 52.2 cm Seat tube = 49 cm Seat Angle = 75.0°   We can use the cosine rule here.…

Q: Consider a right triangle with a side of length x opposite angle A, a side of length y opposite…

A:

Q: In a right triangle, the side opposite angle β has a length of 16.4 cm. The hypotenuse of the…

A: Given that: Side opposite to angle β, p=16.4 cmHypotenus of triangle, h = 25.1 cm

Q: What is the angle in radians that a phasor makes with the +x axis, that is {-0.44 + -7.79*j}^-1…

A: Here we have to find the angle in radians that a phasor makes with the +x axis , that is…

Q: Russel and Mikko were tasked by sir Gian to take a picture of a certain status from a platform, the…

A: Let the angles, be θ,α as drawn in the figure. From , the figure we have : tan α=8x --(1) and, tan…

Q: 2) Determine the quadrant in which the terminal side of Θ lies, subject to both conditions. sec Θ >…

A: Given sec⊝>0 and cosec ⊝<0

Q: A man standing on a 45m building high, has an eyesight height of 1.5m from the top of the building,…

A:

Q: A pilot flies on a bearing of 160° for 30 miles. The pilot then executes a quick turn and flies…

A:

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

A: The six circular functions are, Sin x , Cos x ,Tan x ,Cosec x ,Sec x, Cot x

Q: A line makes the same angle e with each of the X- and Z- axis. If the angle B, which it makes with…

A:

Q: If we are given an acute angle and a side in a right triangle, what unknown part of the triangle…

A: If we are given an acute angle and a side in a right triangle, what unknown part of the triangle…

Q: Find the angle 0 between v= cos 120°i+ sin 120°j and w = cos 135°i+ sin 135°j. If necessary, round…

A: Using trigonometric  formulas

Q: 25x Using the compound angle formulae equals sin 12 a) sin 3 O b) sin 3 c) sin 3 4 O d) sin +-

A: Sin(25π/12) = Sin(2π + π/12) = Sin(π/12)

Q: 2. A hot air balloon is kept at a constant altitude by two ropes anchored at two points on the…

A: Given:  A hot air balloon is kept at a constant altitude by two ropes anchored at two points on the…

Q: Assume Za is opposite side a, ZB is opposite side b, and Zy is opposite side c. Solve triangle ABC…

A: Given:   ∠A=α=44.2°b=11.7mc=16.6m To find:  a≈_____m  cos∠B=cosβ≈____  β≈_____  cos∠C=cosγ≈____…

Q: If y = cos*[sec? (30)], and (0 =) y will be equal to?

A:

Q: 2. Find the lengths of both circular arcs of the unit circle connecting the point (–V2/2, -V2/2) and…

A: I have given you detailed solution and also explained each and every step so that you can get it…

Q: 3. When instructed to find the length of ZY in right triangle YZX, Josh wrote ZY the equation sin 46…

A:

Q: If y = cos*[sec?(30)], and (0 = =) y will be equal to? %3D

A:

Q: 1. Rana is at the top of a cliff and sees a seal in the water. If the cliff is 40 m above the water…

A:

Q: Assume Za is opposite side a, ZB is opposite side b, and Zy is opposite side c. Solve triangle ABC…

A: we have given∠A =α =37.7° , b=8.8 ft , c=17.5ftaccording to law of cosinesa2 =c2 +b2 -2cbcosα

Q: From a point 20 ft. above the surface of the water, the angle of elevation of a tree standing at the…

A: To find out the height of tree and horizontal distance from the point of observation.

Q: If the cos of angle x is 8/17 and the triangle was dilated to be two times as big as the original,…

A: topic -  triangle geometry

Q: A tree standing vertically on a hill which is inclined at angle of 11 degrees with horizontal, cast…

A:

Q: A radio tower 500 feet tall, and the ground on one side of the tower has an inclination to the…

A:

Q: he line connecting PC to PT is equal to 125m. If this line makes an angle of 13.5 with the back…

A: Given step by step explanation below

Q: A pendulum of length 12.1 inches swings 5°37' to each side of its vertical position. What is the…

A:

Q: Two sides and the included angle of a triangle are found by measurement to be 40 ft, 33 ft, and 60°…

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Q: Find the acute angle between the lines. Round your answer to the nearest degree. 4x - y = 4, 9x + y…

A:

Q: 1. If the angle 0 is in standard position and P(x, y) is a point on the terminal side of 0, and r is…

A: Draw the diagram according to the question.

Q: 3 5' 2 < x <T, find the exact value for each trig half-angle. Given sin x = sin (클) ㅋ Cos

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Q: The radius of a wheel rolling on the ground is 79 centimeters. If the wheel rotates through an angle…

A: In this question we have to find the how many centimeters will wheel moves.

Q: 14. If 0 is an angle in standard position and its terminal side passes through the point (S,-)0 on a…

A:

Q: Memphis, Tennessee and New Orleans, Louisiana, lie approximately on the same meridian. Memphis has…

A: Given  latitude of Memphis and New Orleans are 35°N and 30°N. First obtain the angle between the two…

Q: Determine the horizontal distance from point A to each mountain peak. 2. State a position vector for…

A:

Q: 1. What is the sign of the abscissa and ordinate of points in each of the quadrants of a two-…

A: To find the signs of abscissa and ordinate and relate withe signs of trigonometric function in a…

Q: The cross section of a rivet has a top that is an arc of a circle. If the ends of the arc are 11 mm…

A:

Q: What bearing and airspeed are required for a plane to fly 320 miles due north in 2.0 hours if the…

A:

Q: For angles u and v in quadrant II, if  sin u =3/5 and cos v= -  5/13 ,  find the exact value of…

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.