Trigonometry Created by Educational Technology Network. www.edtechnetwork.com 2009

Elevation/ Depression Trig Ratios Sine vs. Cosine Find the Missing Part Elevation/ Depression The LAWS 100 100 100 100 100 200 200 200 200 200 300 300 300 300 300 400 400 400 400 400 500 500 500 500 500

Trig Ratios – 100 Points QUESTION: ANSWER: What is the acronym used to help remember trig ratios? ANSWER: SOH-CAH-TOA

Trig Ratios – 200 Points QUESTION: ANSWER: With reference angle X, what part of the triangle is BC? ANSWER: BC = Adjacent Side

Trig Ratios – 300 Points QUESTION: ANSWER: What trig ratio is equal to length of the side opposite the reference angle divided by the hypotenuse? ANSWER: Sine

Trig Ratios – 400 Points QUESTION: ANSWER: Which trig ratio would you use to solve this problem? ANSWER: Tangent

Trig Ratios – 500 Points QUESTION: ANSWER: Tell me four different ways (equations) to solve for X. ANSWER: Pythagorean Theorem Sin39=5/X cos(39)=17/X sin(51)=17/X cos(51)=5/X

Sine vs. Cosine – 100 Points QUESTION: ANSWER: What kind of angles are A and B? ANSWER: Complementary

Sine vs. Cosine – 200 Points QUESTION: ANSWER: If sin(17) = cos(x) what is the value of x? ANSWER: X=73

Sine vs. Cosine – 300 Points QUESTION: ANSWER: If cos(x) = 5 14 what is the value of sin(y)? ANSWER: 5 14

Sine vs. Cosine – 400 Points QUESTION: ANSWER: Rewrite the equation all in terms of x: sin(Y) = cos(X) ANSWER: sin(90-x) = cos(x)

Sine vs. Cosine – 500 Points QUESTION: ANSWER: If cos(A)=r and sin(A)=s what is the cos(B)-sin(B)? ANSWER: s - r

Missing Parts – 100 Points QUESTION: ANSWER: What is the length of QS? 12

Missing Parts – 200 Points QUESTION: ANSWER: Solve for X. Round to the nearest tenth. ANSWER: 3.1

Missing Parts – 300 Points QUESTION: ANSWER: Solve for X. Round to the nearest tenth ANSWER: 29.4

Missing Parts – 400 Points QUESTION: Solve for 𝜃. ANSWER: 27.5°

Missing Parts – 500 Points QUESTION: ANSWER: X = 65.38 Y = 24.62 Solve for all the missing variables ANSWER: X = 65.38 Y = 24.62 Z = 21.8

Elevation/Depression – 100 Points QUESTION: How do you know the angle of depression is the same as the angle of elevation but in different locations? ANSWER: Alternate Interior Angles

Elevation/Depression – 200 Points QUESTION: A 14 foot ladder is used to scale a 13 foot wall. At what angle of elevation must the ladder be situated in order to reach the top of the wall? ANSWER: 68.2

Elevation/Depression – 300 Points QUESTION: From an airplane at an altitude of 1200 m, the angle of depression to a building on the ground measures 28°. Find the distance from the plane to the building. ANSWER: 2556.1 meters

Elevation/Depression – 400 Points QUESTION: You are standing on top of a building and look out to see a phone tower. Your angle of elevation to the top of the tower is 30°. Your angle of depression to the bottom of it is 52°. The building is 27 meters away from the tower. How tall is the tower? ANSWER: 50.1 m

Elevation/Depression – 500 Points QUESTION: A bird is 100 feet in the air. He looks down and spots two friends walking towards each other. His angle of depression to one friend is 77 degrees and his angle of depression to the other is 45 degrees. How far away are the two friends in that moment? ANSWER: 76.9 feet

The LAWS – 100 Points QUESTION: ANSWER: What is the law of Sines and law of Cosines used for? ANSWER: To help find missing sides and angles of NON-right triangles

The LAWS – 200 Points QUESTION: ANSWER: Find the area of the triangle. 38.7

The LAWS – 300 Points 𝑚∡A=50.5 QUESTION: ANSWER: Use Law of Sines to find 𝑚∡𝐴. ANSWER: 𝑚∡A=50.5

The LAWS – 400 Points QUESTION: ANSWER: Use the law of cosines to find the missing side. Round to the nearest hundredth. ANSWER: 7.98

The LAWS – 500 Points QUESTION: ANSWER: Find side LN. Round to the tenths. ANSWER: 20.1

Before You Leave… What is 1 topic or skill you feel confident in for Thursday’s test? What is 1 topic or skill you know you’ll need to study before the test?