91Ó°ÊÓ

Find each of the following in the Table of Trigonometric Ratios. a. \(\sin 21^{\circ}\) b. \(\tan 52^{\circ}\) c. cos \(5^{\circ}\) d. tan \(45^{\circ}\) e. sin \(60^{\circ}\)

Simplify. a \(\sqrt{4}\) b \(\sqrt{27}\) c \(\sqrt{72}\) d \(\sqrt{32}\) e \(\sqrt{98}\) f \(\sqrt{200}\) g \(\sqrt{20}\) h \(\sqrt{24}\)

Find the diagonal of a rectangular solid whose dimensions are 3 4, and 5.

Show that the triangle with vertices at \((8,4),(3,5),\) and \((4,10)\) is a right triangle by using a The distance formula b Slopes

Use the distance formula to show that \(\triangle \mathrm{DOG}\) is equilateral if \(\mathrm{D}=(6,0), \mathrm{O}=(0,0),\) and \(\mathrm{G}=(3,3 \sqrt{3})\).

PM is an altitude of equilateral triangle PKO. If \(P K=4\), find PM.

Solve each equation for \(x\) to the nearest integer. a. \(\sin 25^{\circ}=\frac{x}{40}\) b. \(\cos 73^{\circ}=\frac{35}{x}\) c. \(\sin x^{\circ}=\frac{29}{30}\)

Find the slant height of a regular square pyramid if the altitude is 12 and one of the sides of the square base is \(10 .\)

Find the altitude of an equilateral triangle if a side is \(6 \mathrm{mm}\) long.

Find, to the nearest degree, the angles of a \((3,4,5)\) triangle.