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Magazine Problem 3
Find values of the trigonometric functions of the angle (in standard position) whose terminal side passes through the given points. For Exercises \(3-16,\) give answers in exact form. For Exercises 17 and \(18,\) the coordinates are approximate. $$(6,8)$$
Problem 3
Draw appropriate figures and verify through observation that only one triangle may contain the given parts (that is, any others which may be drawn will be congruent.) A \(60^{\circ}\) angle included between sides of 3 in. and 6 in.
Problem 3
Solve the given problems. Sketch an appropriate figure, unless the figure is given. A straight \(12 \overline{0}\) -ft culvert is built down a hillside that makes an angle of \(25.0^{\circ}\) with the horizontal. Find the height of the hill.
Problem 4
Find values of the trigonometric functions of the angle (in standard position) whose terminal side passes through the given points. For Exercises \(3-16,\) give answers in exact form. For Exercises 17 and \(18,\) the coordinates are approximate. $$(5,12)$$
Problem 4
Draw appropriate figures and verify through observation that only one triangle may contain the given parts (that is, any others which may be drawn will be congruent.) A side of 4 in. included between angles of \(40^{\circ}\) and \(50^{\circ}\)
Problem 5
Solve the given problems. Sketch an appropriate figure, unless the figure is given. On level ground, a tree \(12.0 \mathrm{m}\) high has a shadow \(85.0 \mathrm{m}\) long. What is the angle of elevation of the sun?
Problem 5
Draw appropriate figures and verify through observation that only one triangle may contain the given parts (that is, any others which may be drawn will be congruent.) A right triangle with a hypotenuse of \(5 \mathrm{cm}\) and a leg of \(3 \mathrm{cm}\)
Problem 5
Find values of the trigonometric functions of the angle (in standard position) whose terminal side passes through the given points. For Exercises \(3-16,\) give answers in exact form. For Exercises 17 and \(18,\) the coordinates are approximate. $$(15,8)$$
Problem 5
Draw the given angles in standard position. $$60^{\circ}, 120^{\circ},-90^{\circ}$$
Problem 6
Draw the given angles in standard position. $$330^{\circ},-150^{\circ}, 450^{\circ}$$
