Explanation Formula used: Trigonometry ratios: sin θ = Opposite Hypotenuse , csc θ = Hypotenuse Opposite , cos θ = Adjacent Hypotenuse , sec θ = Hypotenuse Adjacent tan θ = Opposite Adjacent and cot θ = Adjacent Opposite . Calculation: It is given that, the angle A = 72 ° and side length a = 5.9 . From the Figure, it is observed that ∠ C = 90 ° . Use the fact that the sum of angles of a triangle is 180 ° , that is ∠ A + ∠ B + ∠ C = 180 ° . Obtain the angle A by solving the equation ∠ A + ∠ B + ∠ C = 180 ° . ∠ A + ∠ B + ∠ C = 180 ° ∠ A + ∠ B = 90 ° 72 ° + ∠ B = 90 ° ∠ B = 90 ° − 72 ° ∠ B = 18 ° That is, the angle B = 18 °

14th Edition

ISBN: 9780134856667

Author: Stocker

Publisher: VST

See similar textbooks

Question

Chapter 8.1, Problem 48E

To determine

To find: The angles and side lengths of the given right triangle.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 8.1, Problem 47E

Chapter 8.1, Problem 49E

Students have asked these similar questions

A body of mass m at the top of a 100 m high tower is thrown vertically upward with an initial velocity of 10 m/s. Assume that the air resistance FD acting on the body is proportional to the velocity V, so that FD=kV. Taking g = 9.75 m/s2 and k/m = 5 s, determine: a) what height the body will reach at the top of the tower, b) how long it will take the body to touch the ground, and c) the velocity of the body when it touches the ground.

A chemical reaction involving the interaction of two substances A and B to form a new compound X is called a second order reaction. In such cases it is observed that the rate of reaction (or the rate at which the new compound is formed) is proportional to the product of the remaining amounts of the two original substances. If a molecule of A and a molecule of B combine to form a molecule of X (i.e., the reaction equation is A + B ⮕ X), then the differential equation describing this specific reaction can be expressed as: dx/dt = k(a-x)(b-x) where k is a positive constant, a and b are the initial concentrations of the reactants A and B, respectively, and x(t) is the concentration of the new compound at any time t. Assuming that no amount of compound X is present at the start, obtain a relationship for x(t). What happens when t ⮕∞?

Consider a body of mass m dropped from rest at t = 0. The body falls under the influence of gravity, and the air resistance FD opposing the motion is assumed to be proportional to the square of the velocity, so that FD = kV2. Call x the vertical distance and take the positive direction of the x-axis downward, with origin at the initial position of the body. Obtain relationships for the velocity and position of the body as a function of time t.

Chapter 8 Solutions

EBK CALCULUS FOR BUSINESS, ECONOMICS, L

Ch. 8.1 - Find the degree measure of 1 rad.Ch. 8.1 - Without using a calculator, find: (A)cot 45 (B)cos...Ch. 8.1 - Solve the right triangle in Figure 14. Round side...Ch. 8.1 - Solve the right triangle in Figure 16. Round...Ch. 8.1 - Repeat Example 5 assuming that the man is standing...Ch. 8.1 - Prob. 1ED Ch. 8.1 - Prob. 1E Ch. 8.1 - In Problems 18, mentally convert each degree...Ch. 8.1 - In Problems 18, mentally convert each degree...Ch. 8.1 - In Problems 18, mentally convert each degree...

Knowledge Booster

The angles and side lengths of the given right triangle.

Solution Summary: The author calculates the angles and side lengths of the given right triangle by using the formula.

To find: The angles and side lengths of the given right triangle.

Want to see the full answer?

Chapter 8 Solutions