91Ó°ÊÓ

Find the geometric mean between each pair of numbers. 9 and 4

Find the geometric mean between each pair of numbers. 36 and 49

Use \(\triangle A B C\) to find \(\sin A, \cos A, \tan A, \sin B, \cos B\) and tan \(B\). Express each ratio as a fraction and as a decimal to the nearest hundredth. $$a=8, b=15, \text { and } c=17$$

Use a calculator to find each value. Round to the nearest ten-thousandth. $$\sin 57^{\circ}$$

Find each measure using the given measures of \(\triangle X Y Z .\) Round angle measures to the nearest degree and side measures to the nearest tenth. If \(y=7, z=11,\) and \(m \angle Z=37,\) find \(m \angle Y\)

In \(\triangle R S T\), given the lengths of the sides, find the measure of the stated angle to the nearest degree. $$r=2.2, s=1.3, t=1.6 ; m \angle R$$

Use a calculator to find each value. Round to the nearest ten-thousandth. $$\cos 60^{\circ}$$

Find each measure using the given measures of \(\triangle X Y Z .\) Round angle measures to the nearest degree and side measures to the nearest tenth. If \(y=17, z=14,\) and \(m \angle Y=92,\) find \(m \angle Z\)

To find the distance between two points \(A\) and \(B\) that are on opposite sides of a river, a surveyor measures the distance to point \(C\) on the same side of the river as point \(A\). The distance from \(A\) to \(C\) is 240 feet. He then measures the angle across from \(A\) to \(B\) as \(62^{\circ}\) and measures the angle across from \(C\) to \(B\) as \(55^{\circ}\). Find the distance from \(A\) to \(B\).

Solve each \(\triangle P Q R\) described below. Round angle measures to the nearest degree and side measures to the nearest tenth. $$m \angle P=33, m \angle R=58, q=22$$