Answer: 26.8 feet
Step-by-step explanation:
In the figure attached you can see two right triangles triangle ABD and a triangle ACD.
You are located at point B and the other person at point C.
The approximate height of the lifeguard station is <em>x</em>.
Keep on mind that:

Therefore:
<em>For the triangle ABD</em>:
[EQUATION 1]
<em>For the triangle ACD:</em>
[EQUATION 2]
Solve from DC from [EQUATION 2]:

Substitute into [EQUATION 1] and solve for x:

≈26.8ft
Answer:
(3x + 5)/2 = 7
Step-by-step explanation:
If you substitute 3 for x, you get the equation:
(3(3) + 5)/2 = 7
(9 + 5)/2 = 7
14/2 = 7
Answer:
x=5±√−103/8
Step-by-step explanation:
There's no real solutions
4x2−3x+9−(2x+1)=2x+1−(2x+1)
4x2−5x+8=0
x=−b±√b2−4ac/2a
x=−(−5)±√(−5)2−4(4)(8)/2(4)
x=5±√−103/8
Answer: 36
Step-by-step explanation:
(Triangle ABC is isosceles)
(base angles of an isosceles triangle are congruent)
(In triangle CMB, angles in a triangle add to 180 degrees)
(triangle sum theorem)
(30-60-90 triangle CMB)
(sides opposite congruent angles in a triangle are congruent)
(segment addition postulate)
The final steps is to review your results.
This means that you have to check if the results meet the original requirements or statements.
Ideally, you should try to solve the same problem by a second method, and/or you should substitute the results into the given relationships given in the problem statement to chek coherence of your results.
Then the answer is option b.