Answer:
512 ft.
Step-by-step explanation:
From the parking lot at the Red Hill Shopping Center, the angle of sight (elevation) to the top of the hill is about 25. From the base of the hill you can also sight the top but at an angle of 55. The horizontal distance between sightings is 740 feet. How high is Red Hill? Show your subproblems.
Solution:
Let x be the distance from the base of the hill to the middle of the hill perpendicular to the height, let h be the height of the hill. Therefore:
tan 25 = h/(x + 740)
h = (x + 740)tan 25 (1)
tan 55 = h / x
h = x tan 55 (2)
Hence:
(x + 740)tan 25 = xtan 55
0.4663(x + 740) = 1.428x
0.4663x + 345.07 = 1.428x
0.9617x = 345.07
x = 359 ft.
h = xtan55 = 359 tan(55) = 512 ft.
Answer/Step-by-step explanation:
Each square would be about 0.78 by 0.78
The constant should be added to form a perfect square trinomial will be 1/4. Then the correct option is D.
<h3>What is a quadratic equation?</h3>
It's a polynomial with a value of zero. There exist polynomials of variable power 2, 1, and 0 terms. A quadratic equation is an equation with one statement in which the degree of the parameter is a maximum of 2.
The expression is x² + x.
Then the constant should be added to form a perfect square trinomial.
Then the constant will be
The square of the half of the coefficient of the variable x is to be added to make a perfect square.
Then the constant will be 1/4.
Then the perfect square will be
![\rm \rightarrow x^2 + x + \dfrac{1}{4}\\\\\\\rightarrow x^2 + 2 \times \dfrac{1}{2} x + \left (\dfrac{1}{2} \right )^2\\\\\\\rightarrow \left (x + \dfrac{1}{2} \right)^2](https://tex.z-dn.net/?f=%5Crm%20%5Crightarrow%20x%5E2%20%2B%20x%20%2B%20%5Cdfrac%7B1%7D%7B4%7D%5C%5C%5C%5C%5C%5C%5Crightarrow%20x%5E2%20%2B%202%20%5Ctimes%20%5Cdfrac%7B1%7D%7B2%7D%20x%20%2B%20%5Cleft%20%28%5Cdfrac%7B1%7D%7B2%7D%20%5Cright%20%29%5E2%5C%5C%5C%5C%5C%5C%5Crightarrow%20%5Cleft%20%28x%20%2B%20%5Cdfrac%7B1%7D%7B2%7D%20%5Cright%29%5E2)
More about the quadratic equation link is given below.
brainly.com/question/2263981
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Answer:
free point 3.3.3 points sorry but I just need