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The base of an isosceles triangle is 42 feet long The altitude to the base is 70 feet long What is the measure of a base angle to the nearest degree?
Wiki User
∙ 13y ago
Call the angle v: tan v = opp/ adj = 70/21 = 3.33; tan 73 = 3.26, tan 74 = 3.48
so 73 degrees is nearest.
Check: sin73 = opp/hyp so hyp is 70/sin 73 = 70/0.956 = 73.22.
Now use Pythagoras: does 73.22 squared equal 70 squared plus 21 squared?
In whole numbers 5329 = 4900 + 441? Not quite, but good enough for Wiki!
Wiki User
∙ 13y ago
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You can measure it. Or you can measure some other quantities (for examples, the lengths of the sides of a triangle), and calculate the angle using trigonometry.
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Using Pythagoras' theorem the length of the hypotenuse is 17.1 inches
How do you find the measure of an angle to the nearest degree?
You can measure it. Or you can measure some other quantities (for examples, the lengths of the sides of a triangle), and calculate the angle using trigonometry.
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67 degrees
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