A man is flying in a hot-air balloon in a straight line at a constant rate of 6 feet per second, while keeping it at a constant altitude. As he approaches the parking lot of a market, he notices that the angle of depression from his balloon to a friend's car in the parking lot is 37°. A minute and a half later, after flying directly over this friend's car, he looks back to see his friend getting into the car and observes the angle of depression to be 39°. At that time, what is the distance between him and his friend? (Round to the nearest foot.)

Q: Solve the triangle.      a=3 b=4 C=60° Find A.

A: Triangle

Q: A wheel is rotating at 7 radians/sec, and the wheel has a 61-inch diameter. To the nearest foot, wha...

A: Explained below 

Q: Plot the point with the given polar coordinates. Then find all the polar coordinates of the point. 5...

A:

Q: f(0) = sin e and g(0) = cos 0. Find the exact value of the expression below if 0 = 60°. Do not use a...

A:

Q: Plz answer with step

A:

Q: 5) Find Increasing, Decreasing or Constant Intervals. State in interval notation. Interval Notation ...

A: We know that for a given function, y = F(x), if the value of y is increasing on increasing the value...

Q: Find the expression identical to the one given. cot (B/2) O csc B- cot B sec B sec B csc B+csc B csc...

A:

Q: Solve the triangle.      a=3 b=4 C=60° Find B

A: Given that, In a triangle, a = 3, b = 4, ∠C = 60o We have to find the value of angle ∠B.

Q: A 26-foot extension ladder leaning against a building makes a 78° angle with the ground. How far up ...

A:

Q: Find the exact value of the expression. Do not use a calculator. 6 tan 45° - 4 cos 60° 6 tan 45° - 4...

A: Simplification

Q: Cos 90

A:

Q: 1. Sin(2x + 30) = tan 135

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as ...

Q: Given the following proof attempt, explain what is wrong with it, and how you would go about correct...

A: Solve the equation

Q: Find a linear equation satisfying the condition, if possible. Passes through (-2, 6) and (2, 18) y =

A: Topic:- geometry

Q: 15. In the figure, ST is the tangent to the smaller circle, centre X, at P. Y is the centre of the l...

A: Drawing: Join Q,N.

Q: S csc°x cot²x dx cot*x__cot³x cot’x 5 A cot³x 2 cot³x cot?x C 3 5 7 7 cot³x cot³x cot x D cot³x 2 co...

A:

Q: Find the standard form of the equation of the ellipse with the given characteristics and center at t...

A:

Q: Identify the amplitude for the following. Do not sketch the graph. y = 5 sin x

A: Given that y=5sin(x) Find the amplitude.

Q: 5 Use the direct methods to Solve the fellowng systems of algebriac equations 4X - 3y +5Z = 34 2X -y...

A: Solution is written in below steps.

Q: Solve the triangle shown to the right. Round the lengths of sides to the nearest tenth and angles to...

A: We know that,  c^2=a^2+b^2-2ab cosC Also we know the sine formula, a/sinA =b/sinB =c/sinC

Q: question 1. This problem refers to right triangle ABC with C = 90°. Solve for all the missing parts ...

A:

Q: 2 If T <0 < 2T, then the principal value of 0 is T -0 0-2T 20 T None of the given options is correct...

A:

Q: 33 10

A:

Q: How many radians are cofunction pairs shifted from one another? A C TI D 2TT

A:

Q: If y = -then is equal to 1+ cor 4+ sin 4 L sin 14 sin A

A: answer of given question is in step 2

Q: Fill in the blanks to complete the verification. If a squared term is needed, type it as (sin x) sq....

A:

Q: R Ri AR 4 R in DABD ZADB =0 (Let) AB thin tam o= AD :1: toma5" R O =45

A: The given problem is solved below in detail.

Q: Determine the value of angle A that corresponds to tan A = 6.0840. Round the answer to the nearest s...

A: We need to determine the angle.

Q: Given the equation y-6sin(3(r+2)) +7 The amplitude is: The period is: The horizontal shift is: units...

A:

Q: Fill in the blanks to complete the verification. If a squared term is needed, type it as (sin x) sq....

A:

Q: Example 4: Determine the sequence components if Ia =10<60° A; Ib =10<-60° A; Ic = 10 <180° A. %3D

A:

Q: 4) Determine the exact value of each trigonometric ratio. a) sin 5t/6 b) sec -Зл/4

A: We will use basic properties of trigonometric functions and find the values as follows

Q: In the truss shown, find the value of 41 in degrees. 60

A: Use the properties - Sum of all  angles in a triangle is 180.

Q: Use the identity cos s+ sin's 1 to find the value of x or y, as appropriate. Then, assuming that s c...

A:

Q: Solve the problem. Express 15° as a - ß, where cos a and cos ß are known exactly. 47° - 32° 80° - 65...

A: The objective is to find the correct option. 

Q: If angle θ is in standard position and intersects the unit circle at (5/(root41), -4/(root41)). Find...

A: First we draw a traingle with the given point 

Q: te the equation of a sine or cosine function to describe the graph. 4+ 3+ 2+ 21 3. 3

A: Given query is to find the function of the graph.

Q: Write an equation for the line graphed below y - X tin

A:

Q: 20. 7. 31.6 7

A:

Q: Question 11 What are all of the solutions for the equation cos?(0) – 3cos(0) - sin?(0)= -2 on the in...

A:

Q: In the truss shown, find the value of ZDBE in degrees. 48

A:

Q: Fill in the blanks to complete the verification. If a squared term is needed, type it as (sin x) sq....

A: solution:-1cosx csc2x=1cosx sin2x=1cosx sinx·sinx,  numerator expended=sinxcosx·sinx

Q: Use the parallelogram rule to find the magnitude of the resultant force for the two forces shown in ...

A:

Q: 21 sin 0 = - e lies in quadrant IV Find cos 29 O. 358 58 10 29 7/58 58 O. 7/58 58

A:

Q: Solve each inequality over the interval [0, 27t). 4) f(x) = 2cos x-2, f(x)> 0

A:

Q: 1 1 What is the equivalent expression of 1+cos(x) 1-cos(x) O a) 2 sec2 (x) b) 2 cos? (x) c) sec2 (x)...

A: 1)1/(1+cosx) + 1/(1-cosx).  2)sinx-cosx=0.

Q: Evaluate the expression under the given conditions. tan(2theta) ; cos(theta) = 8 / 17, theta in Qua...

A: To evaluate the expression under the given conditions.tan2θ=?cosθ=817where θ is in Quadrant I.  

Q: Solve the equation. Give a general formula for all the solutions. tan 0 = 3 + 2kr, e= 2k7

A:

Q: Using the diagram, determine the measure of Z1 when the length of side x 4.80 ft and the length of s...

A: Given query is to find the measure of angle 1.

Q: 15. In the figure, OCTD is a sector of a circle which touches AB at T. Given that AB 20 cm and BO = ...

A: