Answer:
95.82 ft
Step-by-step explanation:
Since they are in line with the obelisk and are 25 feet apart,
they can be sketched to represent a right angle triangle, the points representing A and B, let the height of the obelisk be h, the distance between the foot of the obelisk and B = x ft so that the distance between the foot of the obelisk and A = x ft + 25 ft.
Using trigonometrical ratio
tan 54 = 
tan 65 = 
make x subject of the formula
x = 
= 0.466 h
substitute for x in the first equation
1.376 ( x + 25 ft) = h
1.376 ( 0.466 h + 25 ft) = h
0.641 h + 34.4 = h
34.4 ft = h - 0.641 h
34.4 ft = 0.359 h
h = 34.4 ft / 0.359 = 95.82 ft
Answer:
4140
Step-by-step explanation:
2x+1=9
Your going to always try to leave the x variable alone.
2x+1=9
-1 -1
2x=8
/2 /2
x=4
Answer:
1/5, 4/5, 5/5
Step-by-step explanation:
1/5 is 20%
4/5 is 80%
5/5 is 100%
Answer:
<h2><em>
2(3s-14)</em></h2>
Step-by-step explanation:
Given the angles ∠ABF=8s-6, ∠ABE = 2(s + 11), we are to find the angle ∠EBF. The following expression is true for the three angles;
∠ABF = ∠ABE + ∠EBF
Substituting the given angles into the equation to get the unknown;
8s-6 = 2(s + 11)+ ∠EBF
open the parenthesis
8s-6 = 2s + 22+ ∠EBF
∠EBF = 8s-6-2s-22
collect the like terms
∠EBF = 8s-2s-22-6
∠EBF = 6s-28
factor out the common multiple
∠EBF = 2(3s-14)
<em></em>
<em>Hence the measure of angle ∠EBF is 2(3s-14)</em>
