Answer:
= 6n - 4
Step-by-step explanation:
There is a common difference between consecutive terms in the sequence, that is
8 - 2 = 14 - 8 = 6
This indicates the sequence is arithmetic with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 2 and d = 6 , thus
= 2 + 6(n - 1) = 2 + 6n - 6 = 6n - 4
Thus the formula representing the sequence is
= 6n - 4
Answer
Find out the how high up the wall does the ladder reach .
To proof
let us assume that the height of the wall be x .
As given
A 25-foot long ladder is propped against a wall at an angle of 18° .
as shown in the diagram given below
By using the trignometric identity
now
Base = wall height = x
Hypotenuse = 25 foot
Put in the trignometric identity
x = 23.8 foot ( approx)
Therefore the height of the ladder be 23.8 foot ( approx) .
Answer:
<em> The distance from your eyes to the stage is 8.85 ft</em>
Step-by-step explanation:
Your distance to the stage is 6 feet
Your eyes are 6.5 feet tall
You need to find the distance of your eyes towards the stage.
This situation can be modeled using a rectangle triangle, where the adjacent side x is the horizontal distance to the stage and the opposite side h is the vertical distance of your eyes to the stage.
<u>Observe the attached image.</u>
Then, we look for the distance z from your eyes to the stage. This distance is the hypotenuse of the right triangle.
So, using the Pythagorean theorem we have:
Where
therefore:
