Precalculus Unit 3 – Worksheet 4 – Solving Non

Transcription

Precalculus Unit 3 – Worksheet 4 – Solving Non
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.