Find the arc length and sector area for the following: (Use TT-3.14...do not use the TT button on your calculator!) arc length = sector area = Flm 3

The angle of elevation of the Sun is 35.1° at the instant the shadow cast by the Washington Monument is 789 feet long. Use this information to calculate the height of the monument.

Find the angle of elevation of a kite on a 50m string flying 40m vertically above the ground. Correct the answer to 1 decimal place.

In whoville, the amount of rainfall varies greatly each week and follows a sinusoidal pattern. The following data is the recorded millimeters (mm) of precipitation across 14 weeks. Determine a sine and a cosine function that approximates the amount of rainfall over time in weeks. Decimals are allowed. Week 1, rainfall(mm) - 1.4 Week 2, rainfall(mm) - 3.1 Week 3, rainfall(mm) - 4.3 Week 4, rainfall(mm) - 2.9 Week 5, rainfall(mm) - 1.2 Week 6, rainfall(mm) - 0.1 Week 7, rainfall(mm) - 1.3 Week 8, rainfall(mm) - 2.7 Week 9, rainfall(mm) - 4.3 Week 10, rainfall(mm) - 3.2 Week 11, rainfall(mm) - 1.1 Week 12, rainfall(mm) - 0.2 Week 13, rainfall(mm) - 1.2 Week 14, rainfall(mm) - 2.8

Spiderman is shooting webs at a lamp post. The fırst web is 14 meters long hits the top of the lamp post. The second web is 10 meters long and hits a lower part of the post. If the webs form an angle of 37°, determine the distance between the two points of contact. Give your answer in 2 decimal places

A city is located at 40 degrees north latitude. Assume the radius of the earth is 3960 miles and the earth rotates once every 24 hours. Find the linear speed of a person who resides in this city. Refer to Exercise 5.74 for information on trigonometric functions.

You are standing at the top of a lighthouse, looking down towards a boat on the water. From your position in the lighthouse, you are 67.7 metres above ground. The boat is a horizontal distance of 74.7 metres from the lighthouse. Determine the measure of the angle of depression formed between you and the boat. State your answer as a numeric value only, rounded to the nearest tenth of a degree.