Essential Question: What are trigonometric functions, and how can we use them to find the missing angles of a right triangle? Learning Target: Students will be able to apply the three basic trigonometric functions to complete a triangle. Complete the entire document and show all work for full credit.
Essential Question: What are trigonometric functions, and how can we use them to find the missing angles of a right triangle? Learning Target: Students will be able to apply the three basic trigonometric functions to complete a triangle. Complete the entire document and show all work for full credit.
Solve each proportion.
What is the correct order of steps to solve this similarity problem?
If △DEF ~ △HJG; find x
Cross multiply to make the equation:
Simplify the equation to
x=20
Rewrite the similarity statement so that you can line up the corresponding letters from each polygon:
JG is the side that has to be in the proportion created because it contains x, so create a proportion using corresponding sides from each triangle:
Replace the all the sides with numbers:
Divide both sides of the equation by 9:
USE THE SIMILARITY RELATIONSHIP TO FIND THE INDICATED VALUE:
If △DEF ~ △HJG; find x
Find the value of x. Round to the nearest tenth.
Find the value of x. Round to the nearest tenth.
Find the value of x. Round to the nearest tenth.
Find the length of DE to the nearest tenth.
Solve for x. Round to the nearest tenth.
Solve for x. Round to the nearest tenth.
Solve for x. Round to the nearest tenth.
Solve for x. Round to the nearest tenth.
Solve for x. Round to the nearest tenth.
Solve for x. Round to the nearest tenth.
Solve for x. Round to the nearest tenth.
Jake leaned a 12-foot ladder against his house. If the angle formed by the ladder and the ground is 68° , how far from the base of the house did he place the ladder?
A ramp is used to load suitcases on an airplane. If the cargo door is 7 feet from the ground and the angle formed by the end of the ramp and the ground is 25° , how long is the ramp?
A ladder leaning against a wall makes an angle of 75° with the ground. If the foot of the ladder is 6 feet from the base of the wall, what is the length of the ladder?