The angle of elevation of 61° and 72° with the height of the tower being 553.3 m. gives Vic's distance from Dan as approximately 356 meters.
<h3>How can the distance between Vic and Dan be calculated?</h3>
Location of Vic relative to the tower = South
Vic's sight angle of elevation to the top of the tower = 61°
Dan's location with respect to the tower = West
Dan's angle of elevation in order to see the top of the tower = 72°
Height of the tower = 553.3m
- Vic's distance from the tower ≈ 306.7 m
Similarly, we have;
- Dan's distance from the tower ≈ 179.8 m
Given that Vic and Dan are at right angles relative to the tower (Vic is on the south of the tower while Dan is at the west), by Pythagorean theorem, the distance between Vic and Dan <em>d </em>is found as follows;
- d = √(306.7² + 179.8²) ≈ 356
Therefore;
- Vic is approximately 356 meters from Dan
Learn more about Pythagorean theorem here:
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ANSWER
EXPLANATION
The given quadratic equation is:
We rewrite in the standard quadratic equation form to obtain,
Comparing this to the general standard quadratic equation.
We have my
Answer:
First number = 22
Second number = 24
Step-by-step explanation:
Let the first number = x
Let the second number = x + 2
According to the question ,
The sum of two even consecutive ingers = 46.
so,
x + x + 2 = 46
2x + 2 = 46
2x = 46 - 2
2x = 44
x = 44 / 2
x = 22
∴ FIRST NUMBER = X
= 22
SECOND NUMBER = X + 2
= 22 + 2
= 24.
There are many factors, it is all a matter of preference, normally, you want to try to solve for the easiest one to get to
example
if y ou had
(x-3)^2+y=9
you would solve for y becuase it is less tricky
it is all a matter of preference
Answer:
Simplest form = 4<em>z </em>+ 21
Case 1: True, Case II: false and Case III: true
Step-by-step explanation:
18<em>z </em>- 7( -3 + 2z)
= 18<em>z</em> + 21 - 14z
= 18<em>z</em> -14z + 21
= 4<em>z </em>+ 21
So, in the above expression we have two terms. First term is 4z and second term is 21.
So the first case is true. As the expression has two terms.
The coefficient of <em>z </em>is a number which is multiplied by <em>z</em>. Therefore, Second case is false as the coefficient of <em>z</em> is 4.
The constant is a number which is not multiplied by any variable. Therefore, third case is true as the constant number in above expression is 21.
