Purchase Solution

Trigonometry - Heights and Distances

Not what you're looking for?

Ask Custom Question

Unit 5 Individual Project - B [See the Attached Questions File.]

1. The following chart shows some common angles with their degrees and radian measures. Fill in the missing blanks by using the conversions between radians and degrees to find your solutions. Show all work to receive full credit.

2. Two boats leave the port at the same time. The first boat travels due east at 14 mph, and the second boat travels at 28 mph in the direction of .
To the nearest tenth of a mile, how far apart will the boats be in a half an hour? (Hint: Distance = (Rate)(Time), 0.5 represents a half an hour.)

3. Use common trigonometric identities for the functions given to find the indicated trigonometric functions. (Hint: Remember the reciprocal properties of sine, cosine, and tangent.) Show all work to receive full credit. Give answers in exact form - no decimals.

4. Solve the following application problem. Show all work to receive full credit.
A. A man at ground level measures the angle of elevation to the top of a building to be . If, at this point, he is 12 feet from the building, what is the height of the building? Draw a picture, show all work, and find the solution. Round to the nearest hundredths.

B. The same man now stands atop a building. He measures the angle of elevation to the building across the street to be and the angle of depression (to the base of the building) to be .

If the two buildings are 50 feet apart, how tall is the taller building? See the figure. Round to the nearest hundredths.

5. A weather balloon B lies directly over a 1000-meter airstrip extending from A to C.
The angle of elevation from A to B is and from C to B is (Larson, Hostetler, & Edwards, 2005).
Find the distances from A to B and from C to B. Show all work to receive full credit. Round to the nearest hundredths.

Purchase this Solution

Solution Summary

All questions are neatly solved showing all the steps in an attached Word document.

Purchase this Solution


Free BrainMass Quizzes
Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Probability Quiz

Some questions on probability