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:
Our equations are

Let us understand the term Discriminant of a quadratic equation and its properties
Discriminant is denoted by D and its formula is

Where
a= the coefficient of the 
b= the coefficient of 
c = constant term
Properties of D: If D
i) D=0 , One real root
ii) D>0 , Two real roots
iii) D<0 , no real root
Hence in the given quadratic equations , we will find the values of D Discriminant and evaluate our answer accordingly .
Let us start with

Hence we have two real roots for this equation.


Hence we do not have any real root for this quadratic

Hence D>0 and thus we have two real roots for this equation.

Hence we have one real root to this quadratic equation.
Answer:
width = 6 feet
length = 19 feet
Step-by-step explanation:
'w' = width
'2w+7' = length
50 = 2w + 2(2w+7)
50 = 2w + 4w + 14
36 = 6w
6 = w
length = 2(6)+7 = 19
Answer:
B. C. and E.
Step-by-step explanation: