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Dive into the world of right triangles and master trigonometric ratios, geometric figures, angles of elevation and depression scenarios, chord length calculations, and 3D problem-solving techniques. Practice examples included.
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Trigonometry Chapter 15
Used for finding side lengths and angles of right triangles Trigonometric Ratios in Right Triangles
Ex. 1 Ex. 2
Ex. 1 Using trigonometry in geometric figures
Ex. 2 A rhombus has diagonals of length 10 cm and 6 cm. Find the smaller angle of the rhombus. Ex. 3
Ex. 4 A chord of a circle subtends an angle of 112° at its centre. Find the length of the chord if the radius of the circle is 6.5 cm.
Angles of Elevation and Depression Problem Solving using Trigonometry
Ex. 1 When measured from a point 12.4 m from its base, the angle of elevation to the top of a tree is 52°. Find the height of the tree.
Ex. 1 3-D Problem Solving
Kylie measures a 32° angle of elevation from a point on level ground to the top of a building 120 meters high. She walks towards the building until the angle of elevation is 45°. How far does she walk? Exit Ticket