9. Determine the distance between city hall and the library if city hall is 54 feet tall and the angle of depression from the top of city hall to the base of the library is 49°.

Q: Let x, y, z all exceed 1, and let w be a positive number such that log, (w) = 24, log,(w) = 40 and l...

A:

Q: For the following, ? is a central angle in a circle of radius r. Find the length of arc s cut off by...

A: We can find the arc length as below.

Q: Use the exact values of the unit circle AND that fact that cosine is an even function to find: cos(−...

A:

Q: Learning Task 2: A. Use the identities presented in this lesson to simplify each trigonometric expre...

A:

Q: State whether the triangles are congruent or hot. If the statement and name the postulate that guara...

A:

Q: A pilot flies in a straight path for 1 h 30 min. She then makes a course correction, heading 8° to t...

A:

Q: Find the positive radian measure of the angle that the second hand of a clock moves through in the g...

A: Topic:- algebra 

Q: Using the given information, find the area of the sector of a circle of radius r formed by a central...

A: Given: r=8θ=140°

Q: Two gears are adjusted so that the smaller gear drives the larger one, as shown in the figure. If th...

A:

Q: 1. What are the foci of the given graph? 5 Co-Vertex (0, 5) Vertex (-4 0) Vertex (4, 0) -10 -5 5 10 ...

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Q: A wheel with a 19-inch diameter is turning at the rate of 44 revolutions per minute. What is the spe...

A: Given, the diameter of the wheel is 19in. so, radius of the wheel is =192=9.5in Also given turning a...

Q: 10. Determine the exact area of the shaded region given that the circle has a diameter of 6 inches a...

A:

Q: Find the square roots of the complex number z= 16 (cos 60° + i sin 60°). There may be more than one ...

A:

Q: Find a positive angle less than 2n that is coterminal with the given angle. 29T 4 29T A positive ang...

A: Given:- 29π/4  To find:- positive co-terminal angle  for given angle

Q: (b)Create graphs of three functions below to determine if they are continuous or discontinuous. i.Co...

A: A function is continuous when its graph is a single unbroken curve. A function is called continuous ...

Q: Two hikers set out in different directions froma marked tree on the Bruce Trail. The angle formed be...

A: Given query is to find the distance between the hikers.

Q: 4. You are on vacation sight-seeing at the coast and climb up to the top of a 50-meter light house. ...

A:

Q: b. In cot(r)- In| tan(r) = 2 1n cot(r)| %3D

A: Topic = Algebra

Q: 7. Find the exact value of each of the remaining trigonometric functions of 0. Give exact values onl...

A: Given sinθ=-3/7 Sine function negative in third and fourth quartant And tanθ<0 So tangent lies in...

Q: 17x The seats of a Ferris wheel are 60 feet from the wheel's center. When you get on the ride, your ...

A: We have to find the height  above the ground  after rotating through an angle of 17π4.

Q: O. 32 * ma the measure of each side indicated. Round to the nearest tenth. 5) 6) 43° 43° A C 12 Y 8)...

A:

Q: Determine the amplitude, period, quater period, and phase shift. Then, graph one period of the funct...

A: y=2cos(4x+π/2)   Use the form acos(bx−c)+d to find the variables used to find the amplitude, pe...

Q: For all angles in standard position with radian measure θ > 0 which lie in Quadrant I, θ lies betwee...

A:

Q: Find all solutions of the equation sec" x – 2 = 0. T The answer is A + BkT where k is any integer an...

A:

Q: 8. sin(x) x in Quadrant 17 00

A: Here, the given value of sin x=817 and  x is in the first quadrant. Now,  sin x=opphyp=817⇒opp=8, hy...

Q: Without a calculator. Show that −165/4 is the exact value of the following expression  when x = 10◦...

A: We know that period of csc ,sin is 2π and period of tan is π/2

Q: K 29 L 19

A: Given:   LM = 19     KL = 29

Q: How much is area of x ?

A:

Q: 990 d A boy visiting New york city views the A Empire State building from a pointo on the ground, A,...

A:

Q: The diameter of a Ferris wheel is 223 feet. The top of the wheel stands 233 feet above the ground. T...

A:

Q: Find the slope of the line passing through the pair of points below. Assume that all variables repre...

A: Given that: Two points are: (0, -a) and (-b, 0)

Q: The minute hand of a clock is 1.6 centimeters long. How far does the tip of the minute hand travel i...

A: Given: - The minute hand of a clock is 1.6 cmlong. To find: - How far does the trip of the minute ha...

Q: A cable is to be run from a power plant on one side of a river 900 meters wide to a factory on the o...

A:

Q: Use a sum or difference formula to find sin 12

A: The given value,       sin5π12

Q: he area of a lune is 30 sq. m. If the area of the sphere is 120 sq. m. What is the angle of the lune...

A:

Q: 7. 5. 6. F. E.

A:

Q: The expansion 1 + x + x² ... approximates (1 - x)1 if O x is not equal to 1 本 O absolute value of x ...

A: The expansion 1+x+x2+.........approximtes 1-x-1

Q: Draw a simple graphical representation of the given vectors, and solve for the magnitude of the resu...

A:

Q: 12) 24 ft 102° A 21 ft

A: Given query is to solve the given triangle usinge trigonometric law.

Q: Suppose that point P is on a circle with radius r, and ray OP is rotating with angular speed w. Comp...

A: Here, given that: r=10 cm, ω=π6rad/sec, t=6 sec

Q: Directions: Explain the following problem using the concept of triangle congruency. To measure the d...

A: The Greek mathematician Thales devised the instrument to calculate the distance of ship from the sho...

Q: If angle ? is in standard position and the terminal side of ? intersects the unit circle at the poin...

A: Given the query is to find the value of indicated angles.

Q: Express the given expression as a function of cos x. cos x + cos 3x cosʻ x – sinx

A:

Q: Given that AXYZ is congruent to ASTU, complete the following statements. U 8 cm 55 35 10 cm 12 cm 12...

A: Given: ∆XYZ is congreunt to ∆STU

Q: Find the smallest angle (in degrees) of a triangle whose sides have lengths of 2√2, 2√3, and √6+√2.

A: We have to find the smallest angle. 

Q: Solve the equation on the interval 0s0<2n. 50 sec = 2 4. 50 What are the solutions to sec = 2 in the...

A:

Q: 17. If the distance between A and T on the map in Figure 19 is 0.5 inch, find each of the following:...

A:

Q: To measure a stone face carved on the side of a​ mountain, two sightings 850 feet from the base of t...

A: Given that: Angle of elevation at the bottom of the face=25°Angle of elevation at the top=28°Distanc...

Q: 2. A right circular cylinder is inscribed in a right circular cone as shown below. Find the a) total...

A: Total surface area of right circular cone is  πrl + πr² πr(l + r) Here we have to find l is cross le...

Q: Find the sine of angle A pictured below. Enter an exact expression or round your answer to the neare...

A: Here we will find sinA,