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Magazine Problem 44
Height of a Mountain While traveling across flat land, you notice a mountain directly in front of you. Its angle of elevation (to the peak) is \(3.5^{\circ}\) . After you drive 13 miles closer to the mountain, the angle of elevation is \(9^{\circ}\) . Approximate the height of the mountain.
Problem 44
Deciding Whether an Equation Is a Function In Exercises \(43-46,\) determine whether \(y\) is a function of \(x\). $$x^{2}+y=16$$
Problem 44
Finding an Equation of a Line In Exercises \(43-50,\) find an equation of the line that passes through the points. Then sketch the line. \((-2,-2),(1,7)\)
Problem 45
Using Intercepts and Symmetry to Sketch a Graph In Exercises \(41-56,\) find any intercepts and test for symmetry. Then sketch the graph of the equation. \(y=x^{3}+2\)
Problem 45
Finding an Equation of a Line In Exercises \(43-50,\) find an equation of the line that passes through the points. Then sketch the line. \((2,8),(5,0)\)
Problem 45
Period and Amplitude In Exercises \(45-48,\) determine the period and amplitude of each function. $$y=2 \sin 2 x$$
Problem 45
Deciding Whether an Equation Is a Function In Exercises \(43-46,\) determine whether \(y\) is a function of \(x\). $$y^{2}=x^{2}-1$$
Problem 46
Deciding Whether an Equation Is a Function In Exercises \(43-46,\) determine whether \(y\) is a function of \(x\). $$x^{2} y-x^{2}+4 y=0$$
Problem 46
Using Intercepts and Symmetry to Sketch a Graph In Exercises \(41-56,\) find any intercepts and test for symmetry. Then sketch the graph of the equation. \(y=x^{3}-4 x\)
Problem 46
Period and Amplitude In Exercises \(45-48,\) determine the period and amplitude of each function. $$y=\frac{3}{2} \cos \frac{x}{2}$$
