Trigonometry Answers

Solve each of the following problems. Follow Polya's four stages of problem solving in your solution.

10. You take a sheet of paper and tear it in half, then place the two2 pieces of paper on top of one another and tear them in half. This process yields four pieces of , paper. You place them on top of one another and tear them i half again. Imagine continuing this process through 22 such tears. How many layers are now in the pile of paper?

11. Pilar has six daughters and no son. Some of her daughters have six daughters, and the rest have none. Bertha has a total of 30 daughters and granddaughters, but she has no great-granddaughters. How many of Pilar's daughters and granddaughters. have no daughters?

12. On a balance scale, two spools and one thimble balance eight buttons.Also, one spool balances one button. How many buttons will balance one spool?

Solve each of the following problems. Follow Polya's four stages of problem solving in your solution.

6. Your house is two km due north of a river that runs east-west. Your grandmother's house is located 12 km west and 1 km north of your house. Every day, you go from your house to Grandma's, but first visit the stream (to get fresh water for Grandma). What is the length of the route with minimum distance?

7. If 10 cows can eat 10 bags of grain in 10 days, how many days will it take for one Icow to eat one bag of grain?

Write expression that gives the required unknown value.

1. If a = 8 and c = 12, find B.

Answer:

2. If a = 13 and B = 16°, find c.

Answer:

3. If A = 15° and c = 37, find a.

Answer:

A pulley with a radius of 14 inches uses bolt to drive a pulley with radius 28 inches. The 14 inches pulleys turned through the angle of 150° .What angle will the 28 inches pulley turns

paul is standing at the top of an escalator and lily is standing at the bottom. Their vertical distance is 4.5 m and the angle of elevation of paul from lily is 20 degrees. Find the horizontal distance between them

A, B & C form the vertices of a triangle.

∠

 CAB = 90°, ∠

 ABC = 36° and AC = 8.8.

Calculate the length of AB rounded to 3 SF.

from the window of her condo, chang min measures an angle of elevation of 25 degrees to the top of the nearby building, 80 meters away. if the angle of depression to the foot of same building is 10 degrees. how tall is the nearby building?

Evaluate:

sin 30⁰ cos 45⁰ − cos 30 ⁰ sin 45⁰

A 9.0m ladder rest against the side of a wall. The bottom of the ladder is 1.5m from the base of the wall. Determine the measure of the angle between the ladder and the ground.

What is the measurw of a median of a trapezoid if the base is 15 and 18?