Mathematics Homework Solutions

HOW FAR IS THE FIRE FROM B?

LOOKOUT STATION A is 15 km west of station B. THE BEARING FROM A TO A FIRE DIRECTLY SOUTH OF B IS 37 DEGREES AND 50'E. HOW FAR IS THE FIRE FROM B?

Using Trigonometry Identities

What are different kinds of trig identities? Questions: 1. If sin x = -1/3, what is cosx? 2. Simplify the expression (sinx + cosx)^2 + (sinx - cosx)^2 3. Verify the identity cotx - tanx = (csc2x - sec2x)/sinxcosx

Two distinct, nonparallel lines are tangent to a circle....

Two distinct, nonparallel lines are tangent to a circle. The measurement of the angle between the two lines is 54° (angle QVP). Suppose the diameter of the circle is 2cm. What is the distance VP? Suppose the distance VP is 3.93 cm. What is the diameter of the circle? Find a formula for d, the diameter of the circle, in te ...continues

Continuity: using the epsilon-delta definition of continuity, find delta for a given epsilon value.

The actual problem was [(1/(x-1))-1]< 0.01 0.01 is the epsilon value. Find delta of F(x) = [(1/(x-1))-1]< 0.01

Trigonometry Word Problems

1. A surveyor is measuring the distance across a small lake. He has set up his transit on one side of the lake 130 feet from a piling that is directly across from a pier on the other side of the lake. From his transit, the angle between the piling and the pier is 55(degrees). What is the distance between the piling and the p ...continues

Completing Trigonometric Identities

Complete the Identity: 1. cos 4(theta) 2. sin(theta) sin(theta) ---------- - ---------- 1+sin(theta) 1-sin(theta) Use the given information to find the exact value of the expression. 3. Find sin(2theta). tan(theta) = 24/7, theta lies in quadrant III.

Trigonometry Word Problems (Trapezoids)

See attached file for full problem description. Please show answers with all steps.

Trigonometry Word Problems

From a boat sailing due north at 16.5 mph a wrecked ship K and an observation tower T are observed in a line due East. One hour later the bearings from the boat to K and T are S34(deg)East and S65(deg)East, respectively. Find the distance between K and T. keywords: bearings

Trigonometry Word Problems

Find the angle of elevation of the sun at the time when a 25 foot tall tree casts a 40 foot long shadow.

Finding the Hypotenuse of a Right-Triangle

Find the third side, c, of the right triangle where a=87.5ft and b=192 ft

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