If a varies directly as the square of b, and a=4 when b=3, find a when b=2
1 answer:
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*The diagram is in the attachment
Answer:
q = 2√14
Step-by-step explanation:
To determine the value of q, apply the leg rule/geometric mean theorem, which is:
Hypotenuse/leg = leg/part
Hypotenuse = 10 + 4 = 14
Leg = q
Part = 4
Plug in the values into the equation:
14/q = q/4
Cross multiply
q*q = 14*4
q² = 56
q = √56
q = √(4*14)
q = 2√14
The position of the kite with the point directly beneath the kite at the same
level with the hand and the hand for a right triangle.
- The height of the kite above the is approximately <u>66.314 feet</u>.
Reasons:
The height of his hands above the ground, h = 2.75 feet
Angle of elevation of the string (above the horizontal), θ = 26°
Length of the string, <em>l</em> = 145 feet
Required:
The height of the kite above the ground.
Solution:
The height of the kite above the ground is given by trigonometric ratios as follows;
Therefore;
The height of the kite above the, ≈ <u>66.314 feet</u>
Learn more about trigonometric ratios here: