Precalculus Unit 3 – Worksheet 4 – Solving Non-Right Triangles Name: _________________________________________________________________________________ Solve the triangle. Round your answers to three decimal places. 1. 2. 6.5 4.1 73 6.338 8.3 71 Precalculus Unit 3 – Worksheet 4 – Solving Non-Right Triangles Name: _________________________________________________________________________________ Solve the triangle. Round your answers to three decimal places. 3. 4. 25 8.22 65 7.91 9.1 12.7 Precalculus Unit 3 – Worksheet 4 – Solving Non-Right Triangles Name: _________________________________________________________________________________ Solve the triangle. Round your answers to three decimal places. 5. 6. 6.6 11.2 82 5.143 11.9 73 Precalculus Unit 3 – Worksheet 4 – Solving Non-Right Triangles Name: _________________________________________________________________________________ 7. A lamppost is tilted toward the sun at a 2° angle from the vertical and casts a 25 foot shadow. The angle of elevation from the tip of the shadow to the top of the lamppost is 45°. Find the length of the lamppost. 8. The angle between the straight highways joining town A to towns B and C respectively measures 60°. How far apart are B and C if their distances from A are 16 km and 21 km, respectively? What is the area of the triangle ABC ? Precalculus Unit 3 – Worksheet 4 – Solving Non-Right Triangles Name: _________________________________________________________________________________ 9. A pilot approaching a 3000-meter runway finds that the angles of depression to the ends of the runway are 14° and 20°. How far is the plane from the nearer end of the runway? 10. A flagpole 4 m tall stands on a sloping roof. A guy wire 5 m long joins the top of the pole to the roof at a point 6 m up from the base of the pole. What angle does the roof make with the horizontal? Find the area of the triangle formed by the flagpole, guy wire, and roof.
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