You started out with 260, and increased to 430.
The amount you increased was (430 - 260) = 170
170 is (170/260) = <em>65.4%</em> of what you started with.
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Another way:
The new amount is (430/260) of the old amount.
430 / 260 = 1.654 = 165.4%
The original amount was 260.
You started with 100% of it.
You ended up with 165.4% of it.
That's an increase of 65.4% .
Answer:
<em>The firefighter should extend the ladder at 54° of elevation.</em>
Step-by-step explanation:
<u>Trigonometric Ratios</u>
The ratios of the sides of a right triangle are called trigonometric ratios. There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant, and cotangent.
The longest side of the triangle is called the hypotenuse and the other two sides are the legs.
Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.
<em>Tangent Ratio:</em>

The woman is trapped at 91 feet up from the ground, and the firetruck is 67 feet away from the building.
The wall, the ground, and the ladder form a right triangle, where θ is the horizontal angle of the ladder.
Being the height of the woman the opposite leg and the distance where the firetruck is parked, the adjacent leg:

The angle is calculated as the inverse tangent:

The firefighter should extend the ladder at 54° of elevation.
Answer:
As a column vector 3a +b = (9,10)
Step-by-step explanation:
A =
(2
4)
b =
(3
-2)
3a = 3*2 = 6
3*4= 12
3a + b = 6. + 3
12. +(-2)
3a +b = 9
10
As a column vector 3a +b = (9,10)
Answer:
See below.
Step-by-step explanation:
There are 2 options in finding the difference between f and 35, as you did not state in the question which if the 2 is the larger number.
(f-35)-5=f-35-5
=f-40
OR
(35-f)-5=35-f-5
=30-f
Answer:
angle ERT = angle YUP
Step-by-step explanation: