A motorist driving on level ground sees, due north of her, a tower whose angle of elevation is 10°. After driving 3 km further in a straight line, the tower is n the direction due west, with angle of evation 12°. How high is the tower and

Q: Given a vector with magnitude || = 16 and direction = 236° find a component vector ai + bj

A:

Q: 15.) the approximate value of your Find the expression. Round answer to decimal places. two COS…

A: cosnπ=-1n

Q: 7. Solve the following equation on the interval [0, 2). (no decimals) 2 tan² x-7 tan x = 15

A: Given trigonometric equation

Q: Prove that sin(x + y) sin(x − y) = sin²x − sin²y. -

A: Formula's

Q: Evaluate the following (assume initial angels are in Quadrant-I) 17 sin (2 tan-¹ (26))-[ (Answer…

A:

Q: Given the following Equation (write all answers as exact values, to enter just type in pi) y = cos…

A:

Q: Determine a coterminal angle of 690°.

A: This is question of trigonometry Here angle is given We have to convert it.Further calculation is…

Q: Given that sin(a): = 315 3 and that ≤ a ≤ 2è, find: cos(2a)

A:

Q: Which pair of angles are coterminal with 335°? O-25°, 695° O 155°, 515° O25°, -695° O25°, 695°

A:

Q: The function graphed to the right is of the form y = cos (x-d) or y = sin (x-d), where d is the…

A:

Q: ewrite the expression cos(3x) sin(5x) as a sum using the product to sum formulas.

A:

Q: Solve the value of x. Round sides to the r 10 xo 9

A:

Q: Express radians the angular speed in per second. 420 revolutions. per second, the angular speed is?…

A: The given angular speed is:  420 revolutions per second.

Q: Given u=(-12,-5) and v = (3,9), what is proj,u?

A: The vectors areTo determine: The value of Formula Used:…

Q: Which of the following represents vector u = (37,-51) in linear form?

A: u=-51i+37ju=37i+51ju=37i-51ju=51i-37j

Q: Given sin(A) = = 10 13 in Quadrant 2 find sin(2A)

A:

Q: Rewrite the expression as a simplified expression containing one term. cos (+a) cos (-a) - sin (+a)…

A: let

Q: Determine all solutions to the equation √2 cos2x = sin²x + cos²x on the interval [0, 2rt).

A:

Q: Evaluate trig functions Name ma Find the exact value of the trig function. Don't forget to…

A: We need to find angle.

Q: A radio station tower was built in two sections. From a point 87 feet from the base of the tower,…

A:

Q: Using power reducing identities, write the expresion cos4 b in terms of first powers of cosines. Be…

A:

Q: Solve for the missing measures in the diagram (side lengths and angles). Round the angle measures to…

A:

Q: Use a calculator to find the following. Round your answer to four places past the decimal point.…

A:

Q: 3π What are the solutions to the equation sin x+ 2 = √3 on the interval [0, 2π)?

A:

Q: Solve the right triangle shown in the figure. a = 12.4, b=21.6 A C b B a C

A:

Q: Verify the identity. (sec ² 0+1) (- sin² 0+1) = 2-sin ²0 20 rch Which of the following four…

A:

Q: Find the value of the missing variables. Round your answers to the nearest tent 14 y 60°

A:

Q: The angle of elevation of the tower from A is 25°. From another point B, the angle of elevation of…

A: The angle of elevation of the tower from A is 25°. From another point B, the angle of elevation of…

Q: 1.) The given given angle Position. What in? is in standard quadrant is 342

A: given angle is 342 degrees

Q: ectors t = 3i + 7j, u = 2i - 5j, and v=-21i + 9j are given. art A: Find the angle between vectors t…

A:

Q: Find the area of a sector of a circle having radius r and central angle 0. r= 11.5 cm, 0=81° The…

A:

Q: 5. A bouncy ball bounces to of % of its height when dropped on a hard surface. Suppose the ball is…

A: The ball is dropped from a height of 45mIt bounces to  of the height

Q: Triangle AABC has side lengths of a = 18, p= 18√3, and c= 36 inches. Part A: Determine the mZA. Part…

A:

Q: Finding Coterminal Angles In Exercises 29 and 30, determine two coterminal angles (one positive and…

A:

Q: Quadrilateral ABCD has AB = CD and the acute angles B sin B = 4/9 sin C = 5/6 and C satisfy and Find…

A: Quadrilateral  has , and the acute angles  and  satisfy  and To find the following.

Q: Use the formula for the cosine of the difference of two angles to find the exact value of the…

A: let D=

Q: A student was asked to prove the trigonometric identity tan-x+cot-x=2csc x. Which of the following…

A: .

Q: Solve for the missing side lengths (a, b, c, and d) and missing angle measures (x and y) as shown in…

A:

Q: A particle moves in the xy plane so that at any time 0 ≤ t ≤ 2, x = 2 cost and y t² + sint - 2. =…

A:

Q: Use a half-angle formula to find the exact value of the following expression. cos 67.5° Determine an…

A:

Q: and assuming both solutions are valid, find the other possible answer for x in the previous…

A:

Q: Simplify. (sina - cos a)² =? 01 - sin(2a) 01 - cos(2a) 01 01 + cos(2a)

A: we have given equation

Q: Consider vectors v=(3,4) and u=(1,-4). Calculate: A. Vector w=2v-u. B. The magnitude of vector w. C.…

A:

Q: Graph each defined function over a one-period interval. 4x y = sec 3x + 5 Choose the correct graph…

A:

Q: Evaluate the expression tan cos 8 18 + tan 8 ¹()) . Give an exact answer.

A:

Q: Suppose a point has polar coordinates 5, SR), 6 with the angle measured in radians. Find two…

A: The polar coordinate of a point is .

Q: Determining Quadrants In Exercises 25 and 26, determine the quadrant in which each angle lies. (25)…

A: As per the guidelines I am providing the solution to the first question with both sub-parts. Answer…

Q: Find the value of x. Round to the nearest tenth. 31° 14 ft

A:

Q: Let a and b be positive numbers. Evaluate sin (tan O 60 b a² +6² a (tan-¹ (7)). √a² +6² √a² +6² a²…

A:

Q: Write the equation of a sine function that has the following characteristics. Amplitude: 9 Period: 3…

A: