An 8 foot ladder leaning against a house touches 7 feet above ground draw a diagram and determine the measure of the angle creat
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Answer:
Tan C = 3/4
Step-by-step explanation:
Given-
∠ A = 90°, sin C = 3 / 5
<u>METHOD - I</u>
<u><em>Sin² C + Cos² C = 1</em></u>
Cos² C = 1 - Sin² C
Cos² C =
Cos² C =
Cos² C =
Cos C =
Cos C =
As we know that
Tan C =
<em>Tan C = </em>
<em>Tan C = </em>
<u>METHOD - II</u>
Given Sin C =
therefore,
AB ( Height ) = 3; BC ( Hypotenuse) = 5
<em>∵ ΔABC is Right triangle.</em>
<em>∴ By Pythagorean Theorem-</em>
<em>AB² + AC² = BC²</em>
<em>AC² </em><em>= </em><em>BC² </em><em>- </em><em> AB</em><em>² </em>
<em>AC² = 5² - 3²</em>
<em>AC² = 25 - 9</em>
<em>AC² = 16</em>
<em>AC ( Base) = 4</em>
<em>Since, </em>
<em>Tan C = </em>
<em>Tan C = </em>
<em>Hence Tan C = </em>
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