Question

Draw and label a diagram, then use the trigonometric ratios to solve the following problems. Label the units. Part 1. Show the work.

1. Hudson uses scissors to cut a rectangular piece of paper from one corner to the opposite corner. The cut is 24 centimeters long, and makes a 55 with the uncut edge. How many centimeters long is the paper?


2. Jamar is using a treadmill. He sets the 48 inch at an incline of 10 degree, how high is the end of the treadmill raised?


3. Find the angle of elevation of the sun when a 12.5 meter tall telephone pole casts an 18 meter long shadow.

Answer 1

Answerthis is your answer look it once

Answer 2

9514 1404 393

Answer:

1. 19.7 cm
2. 8.3 in
3. 34.8°

Explanation:

1. The longer side of the paper is opposite the 55° angle, so the sine function is applicable.

s = (24 cm)sin(55°) ≈ 19.7 cm

The paper is about 19.7 cm long.

__

2. (The treadmill picture is substantially identical to the paper/scissors picture. The length is 48 in instead of 24 cm, and the angle is 10° instead of 55°.)

The height is measured opposite the angle, so the sine function applies.

h = 48·sin(10°) ≈ 8.34

The end of the treadmill is raised about 8.3 inches.

__

3. The given measurements are of sides adjacent and opposite the angle being measured, so the tangent function applies.

tan(angle) = (12.5 m)/(18 m)

angle = arctan(25/36) ≈ 34.78°

The angle of elevation of the sun is about 34.8°.