Introduction to Tangent Function
Explore the tangent function in right-angled triangles for Grade 6 students, focusing on the ratio of the opposite side to the adjacent side.
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Introduction to Tangent Function
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Read each question carefully and answer to the best of your ability. Remember that the tangent of an angle in a right-angled triangle is the ratio of the length of the opposite side to the length of the adjacent side.
1. In a right-angled triangle, the tangent of an acute angle is defined as the ratio of the length of the side to the length of the side.
2. For the right-angled triangle below, identify the opposite and adjacent sides relative to angle A.
Opposite side to angle A:
Adjacent side to angle A:
3. In a right-angled triangle, if the opposite side to angle X is 12 units and the adjacent side is 5 units, what is the value of tan(X)?
5/12
12/5
12/13
5/13
4. A ladder leans against a wall, forming a right-angled triangle with the ground. If the ladder is 10 feet long and reaches 8 feet up the wall, what is the tangent of the angle the ladder makes with the ground? (Draw a diagram to help you visualize, then calculate).
5. The tangent of an angle can never be greater than 1.
True
False