45 46 47 47) A large party balloon is tiedto the ground using twostrings. One string is 100 damand makes an 80° angle withthe ground. The second stringmakes a 40° angle with theground. How long is the secondstring? Express your answer tothe nearest decameter.100 damx80°40°O A. 155mB. 814 mC. 153 mO D. 160 m 45) Determine the measureof side c.OA. 9.08mB. 8.44 mO C. 11.45 mOD. 6.44 m46) Given a right triangle madefrom angle of depression, if theside lengths given are thehypotenuse and the adjacentside of the given acute angle,what trigonometric ratioshould be used?A. CosineO B. CotangentC. SineD. Tangent

As per our guidelines we are supposed to answer only one question in case of no mention we are…

47) A large party balloon is tied to the ground using two strings. One string is 100 dam and makes an 80° angle with the ground. The second string makes a 40° angle with the ground. How long is the second string? Express your answer to the nearest decameter.

47) A large party balloon is tied to the ground using two strings. One string is 100 dam and makes an 80° angle with the ground. The second string makes a 40° angle with the ground. How long is the second string? Express your answer to the nearest decameter.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter3: Triangles

Section3.1: Congruent Triangles

Problem 7E: In ABC, the midpoints of the sides are joined. a what does intuition suggest regarding the...

See similar textbooks

Related questions

Q: The following are the coordinates of a triangle: A(4, 4, -3), B(2, 4, 4), and C(-2, 4, 0), find area…

Q: 5x - 4y

A: Given 5x-4y Which is an expression but not an equation.

Q: In 1994, the moose population in a park was measured to be 4420. By 1996, the population was…

Q: 1. Bees are constantly moving in and out of two bee hives, A and B. The rate of change in the number…

Q: 1. Determine the range and the domain of f(x) = 1

A: Solution : To find the range and domain of the given function is f(x) = 1/(x^2 + 1 )

Q: Let R be the differential operator defined by: d " R(y) = y(3) + 4y(2) + 5y' + 2y where dt Solve: A.…

Q: Consider the differential equation: dy dt y² +4y³-12y² a) What are the equilibra? b) On what…

A: Follow the steps.

Q: 5. For each of the following pairs of numbers a and b, calculate gcd(a, b) and find integers r and s…

Q: Consider the model y = yo + aot +[&t Et i=1 If we take the first difference, then the sequence {Ayt}…

Q: 3.4.6 Use Green's theorem in a plane to evaluate of 10x9²³- [(xy²-y) dx + (x + y²) dy] C as a double…

Q: 2. A function is given as x5-6y = 5-x. Calculate the derivative of y with respect to x.

Q: The cost for maintaining a car cost as follows: 2 years- 20,000 4 years- 40,000 8 years- 80,000…

A: The formula for compound interest is A = P(1 + r/n)^nt, where P is the principal balance, r is the…

Q: Which answer best describes the following dªy dy differential equation + = y sinx dx4 dx ?

Q: Miguel deposits ₱135,500 in a savings account that pay 13% interest converted semi-annually. If he…

Q: Find the volume of the solid generated by revolving the area about y = 4 the area bounded by y 2 =…

Q: TRUE or FALSE 1. The set R³, with the vector addition operation defined by (a1, a2, as) (b₁,b2, bz)…

Q: 2. Find the solution of the following system of differential equations: x' (t) = 5x(t) — 9y(t)…

Q: In performing linear spline interpolation, the se- quence of the abscissa values of the data points…

A: Solution

Q: Use variation of parameters to find a general solution to the differential equation given that the…

A: It is given that y1=6t-1 and y2=e-6t are the solutions of the given differential equation. We have…

Q: Alternative Crop A Crop B Crop C PROBABILITY Rainfall Medium 3500 3500 4500 0.5 High 7000 2000 4500…

Q: Newton's Method requires applying the recursion formula: 2n+1= n f'(xn) a) Consider the function…

Q: let P: XY be a function prove that Phas an inverse if and only if fis abijection.

A: Let us define a bijective functions. We know that , a function f : X → Y is bijective if it is both…

Q: S a³ (x² + a²) 3 dx

Q: 4. By the definition of derivative prove that f(x) = √x² +5 is differen- tiable at x=2.

Q: ? Exercise 15.5.7 The horn torus given by the equation p = sin() is shown below. Find the volume of…

Q: • Q2/ Using Lagrange multiplier method to find the maximum and minimum value of the function f(x, y)…

Q: L²+R²x+²y=0 (Auxilary function)

A: Solution :

Q: y= log10 (3x2-5)

A: To calculate the derivative of function y =log10(3x2-5)

Q: CLAMPED SPLINE MODEL PROBLEM = Suppose S(x) interpolates f(x) atxo = 0, x₁ 1 and 2 = 2 by a clamped…

Q: Find the approximations TM and S, for n = 6 and 12. Then compute the corresponding errors ET, EM,…

A: n Tn Mn Sn 6 365.123457 243.850309 319.061728 12 304.486883 248.157311 284.274691 n ET…

Q: b) A vector field is given by F = (2xy + z³)i + x²j+ 3xz²k i) Show that the vector field F has the…

A: The rate of rotation of a vector field is represented by its curl. The curl of the vector field:…

Q: 9. Find the particular solution of y" - 2y' + 5y = 0 y(0) = 1 and y'(0) = -2. An

Q: Graph the system of linear inequalities. ? 5x−3y≥3 2x + 6y ≥ 30

Q: e company wishes to produce both products, but not at equal portions. 60% X’s and 40% Y’s is desired…

A: Given that the company wishes to produce both products, but not in equal portions. 60% X’s and 40%…

Q: 4. Show that the system of equations 3x + 4y + 5z = a 4x + 5y + 6z = b 5x + 6y +7z = C does not have…

Q: 4. Let X an Y be sets with A, B C X and let f: X→Y be a function. Recall that {f(x) EYE A}, and…

Q: 1. V=R³ S = {12 :* ER}. 3x Let V be a vector space and S be a subset of V. Determine whether S is a…

Q: GIVEN: A:b= 2 -5 13 -24 3 1 -6 -2 USING GAUSS-JORDAN REDUCTION METHOD (SINE), FIND THE SOLUTION SET.

Q: 3. Find the solution of the following systems of differential equations: (b) [x' (t) = 5x(t) — 9y(t)…

Q: It is the method used in solving a minimization problem that utilizies the Chebyshev Criterion.…

A: We know, in model fitting method we use a minimization problem that utilizies the chebyshev…

Q: 5. Solve the following differential equation using the Method of Variation of Parameters -2x y" + 3y…

Q: Low-Order Polynomial Model Problem Given the set of data points below Xi 0 1 2 3 4 5 6 7 Yi 23 48 73…

Q: Solve the following equations and compare the roots using the five methods. Tabulate the data…

A: Given: f(x)= x³ + 3x² - 2x - 7 To find: Solution

Q: Q#5. Evaluate the surface integral ff(x,y,z)dS When f(x, y, z)= 3xyz and is the portion of the plane…

Q: 4. Given that x³ - x - 1 has a root between 1 and 2 Find the root to four decimal places using…

Q: Consider the Function. Sequences (fr), (gn) and (hu) given for nem* by fa: R → R÷x + x² 2 J √√x ² +…

Q: In each of Problems 21 through 24, determine the values of r for which the given differential…

Q: 2A-1-630- 1 3. If A= 3 B= -5 and D= 4 Γα [] Le , find a matrix C= c d such that 3A + B - 2C= D.

Q: -8 Consider f(x)= 24x² + 10x + 2 & 9x=1/ Define it fog(x) = gof (x)

Q: 5. A = {0, 32, 62} where A-Z* 6. A = [5, 10-] where A = Z¹

Question

45 46 47

47) A large party balloon is tied
to the ground using two
strings. One string is 100 dam
and makes an 80° angle with
the ground. The second string
makes a 40° angle with the
ground. How long is the second
string? Express your answer to
the nearest decameter.
100 dam
x
80°
40°
O A. 155m
B. 814 m
C. 153 m
O D. 160 m

45) Determine the measure
of side c.
OA. 9.08m
B. 8.44 m
O C. 11.45 m
OD. 6.44 m
46) Given a right triangle made
from angle of depression, if the
side lengths given are the
hypotenuse and the adjacent
side of the given acute angle,
what trigonometric ratio
should be used?
A. Cosine
O B. Cotangent
C. Sine
D. Tangent

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

From the veranda of a beachfront hotel, Manny is searching the seascape through his binoculars. A ship suddenly appears on the horizon. If Manny is 80ft above the earth, how far is the ship out at sea? HINT: See Exercise 27 and note that 1mi=5280ft. An airplane reaches an altitude of 3mi above the earth. Assuming a clear day and that a passenger has binoculars, how far can the passengers see? HINT: The radius of the earth is approximately 4000 mi.
The center of a circle of radius 2 inches is at a distance of 10 inches from the center of a circle of radius length 3 inches. To the nearest tenth of an inch, what is the approximate length of a common internal tangent? Use the hint provided in Exercise 38. HINT: use similar triangles to find OD and DP. Then apply the Pythagorean Theorem twice.
The center of a circle of radius 3 inches is at a distance of 20 inches from the center of a circle of radius 9 inches. What is the exact length of common internal tangent AB? HINT: Use similar triangles to find OD and DP. Then apply the Pythagorean Theorem twice.
The center of a circle of radius 2 in. is at a distance of 10 in. from the center of a circle of radius length 3 in. To the nearest tenth of an inch, what is the approximate length of a common internal tangent? Use the hint provided in Exercise 38. HINT: use similar triangles to find OD and DP. Then apply the Pythagorean Theorem twice.
Given that mAC:mBC:mAB=4:3:2 in circle O: a Which arc is largest? b Which chord is longest?
Given: XYZ with angles as shown in the drawing Find: XY HINT: Compare this drawing to the one for Exercise 20.
The length, L, of the point on any standard 118° included angle drill, as shown in Figure 12-5, can be calculated using the formula L=0.3 O where represents the diameter of the drill. Determine the lengths of the following drill points with the given diameters. Round to 3 decimal places for inches and 1 decimal place for millimeters. a. 12 b. 14 c. 38 d. 10 mm e. 25 mm f. 45 mm
In right ABC with right C,AD bisects BAC. If AC=6 and DC=3, find BD and AB. HINT: Let BD=x and AB=2x. Then use the Pythagorean Theorem.
In ABC, the midpoints of the sides are joined. a what does intuition suggest regarding the relationship between AED and FDE? We will prove this relationship later. b what does intuition suggest regarding AED and EBF.
For Exercises 23 through 34, round the answers to 1 decimal place. 26. All dimensions in Figure 39-16 are in millimeters. a. Find the radius of this circle. r=c2+4h28h b. Find the length of the arc (I). I=0.0175r