Problem 20
Solve each \(\triangle W X Y\) described below. Round measures to the nearest tenth. $$x=10.3, y=23.7, m \angle Y=96$$
Problem 21
Use a calculator to find each value. Round to the nearest ten-thousandth. $$\sin 85.9^{\circ}$$
Problem 22
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. $$37,12,34$$
Problem 22
Solve each triangle using the given information. Round angle measures to the nearest degree and side measures to the nearest tenth. $$\triangle A B C: m \angle A=53, m \angle C=28, c=14.9$$
Problem 23
OPEN ENDED Find a real-life example of an angle of depression. Draw a diagram and identify the angle of depression.
Problem 25
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. $$\frac{3}{4}, \frac{4}{5}, 1$$
Problem 26
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. $$\frac{6}{7}, \frac{8}{7}, \frac{10}{7}$$
Problem 26
Whiting in Math Describe how an airline pilot would use angles of elevation and depression. Make a diagram and label the angles of elevation and depression. Then describe the difference between the two.
Problem 27
The top of a signal tower is 120 meters above sea level. The angle of depression from the top of the tower to a passing ship is \(25^{\circ} .\) Which is closest to the distance from the foot of the tower to the ship? A \(283.9 \mathrm{m}\) C \(132.4 \mathrm{m}\) B \(257.3 \mathrm{m}\) D \(56.0 \mathrm{m}\) $$\begin{array}{l} \sin 25^{\circ}=0.42 \\ \cos 25^{\circ}=0.91 \\ \tan 25^{\circ}=0.47 \end{array}$$ (GRAPH CANT COPY)
Problem 28
Solve each \(\triangle L M N\) described below. Round measures to the nearest tenth. $$m \angle M=55, \ell=6.3, n=6.7$$