91Ó°ÊÓ

CIVIL ENGINEERING For Exercises 6 and \(7,\) use the following information. The percent grade of a highway is the ratio of the vertical rise or fall over a horizontal distance expressed to the nearest whole percent. Suppose a highway has a vertical rise of 140 feet for every 2000 feet of horizontal distance. Calculate the percent grade of the highway.

Find the measure of each angle to the nearest tenth of a degree. $$\tan A=1.4176$$

Find the geometric mean between each pair of numbers. 24 and 25

SLEDDING A sledding run is 300 yards long with a vertical drop of 27.6 yards. Find the angle of depression of the run.

Find the geometric mean between each pair of numbers. $$\frac{8 \sqrt{3}}{5} \text { and } \frac{6 \sqrt{3}}{5}$$

The length of an altitude of an equilateral triangle is 12 feet. Find the length of a side of the triangle.

Find the geometric mean between each pair of numbers. $$\frac{2 \sqrt{2}}{6} \text { and } \frac{5 \sqrt{2}}{6}$$

The perimeter of an equilateral triangle is 45 centimeters. Find the length of an altitude of the triangle.

Use a calculator to find each value. Round to the nearest ten- thousandth.$$\sin 6^{\circ}$$

Determine whether each set of numbers can be the measures of the sides of a right triangle. Then state whether they form a Pythagorean triple. $$8,15,17$$