You are measuring the height of a statue. You stand 5 feet from the base of the statue. You measure the angle of elevation from
the ground to the top of the statue to be 68º. Find the height h of the statue to the nearest foot.
1 answer:
Answer:
The height of the statue is 12 feet
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
In the right triangle ABC
---> by TOA (opposite side divided by the adjacent side)
substitute the given values
solve for AB (the height of the statue)
therefore
The height of the statue is 12 feet
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9² = 12² + 15² - 2 (12) (15) cos (B)
81 = 144 + 225 - 360 cos(B)
81 = 369 - 360 cos (B)
360 cos (B) = 369 - 81
360 cos (B) = 288
cos (B) = 0.8
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Answer: Cosine B = 0.8
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12² = 15² + 9² - 2 (15)(9) cos (A)
144 = 225 + 81 - 270 Cos A
144 = 306 - 270 Cos A
270 Cos A = 162
Cos A = 3/5 or 0.6
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Answer: Cosine Angle A = 3/5
Answer:
Step-by-step explanation:
Completing the square is a process of converting a quadratic equation in standard form into vertex form.
The first step in completing the square is grouping the quadratic and linear terms of the quadratic equation.
Factor out the coefficient of the quadratic term,
Now complete the square, add a term to make the grouped part of the equation a complete square, then balance the equation.
Simplify,
The x-coordinate of the vertex of the equation is equal to (-1) times the numerical part of the quadratic term, and the y-coordinate is equal to the constant.