LT 8.3: Solving Right Triangles

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Presentation transcript:

LT 8.3: Solving Right Triangles Objectives: Use trigonometric ratios to find angle measures in right triangles and to solve real-world problems.

Math Humor Q: Why are you reading that sign backwards? A: It’s an inverse sign!!!

E Use your calculator to find each angle measure to the nearest degree. a. tan-1(0.75) b. cos-1(0.05) c. sin-1(0.67)

Example 2: page 535 # 3 Find the unknown measures. Round lengths to the nearest hundredth and angle measures to the nearest degree.

Example 3: page 536 # 4 The coordinates of the vertices of ∆RST are R(–1, 5), S(4, 5), and T(4, –2). Find the side lengths to the nearest hundredth and the angle measures to the nearest degree.

Example 4: page 536 # 5 Baldwin St. in Dunedin, New Zealand, is the steepest street in the world. It has a grade of 38%. To the nearest degree, what angle does Baldwin St. make with a horizontal line? A 38% grade means the road rises (or falls) 38 ft for every 100 ft of horizontal distance.