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3 years ago

The Wright brothers flyer had a 48 inch wingspan Carla bought a model of of the plane with a scale factor of 1 to 40 what is the

model s wingspan

Mathematics

1 answer:

notsponge [240]3 years ago

5 0

$\bf \cfrac{model}{actual}\qquad 1:40\qquad \cfrac{1}{40}=\cfrac{x}{48}\implies \cfrac{48\cdot 1}{40}=x$

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vovangra [49]

Answer:

s = 16.97 units

Step-by-step explanation:

Since this is a right triangle, we can use trigonometry to figure out the lengths of the sides.

Look at the 45 degree angle. We can use the opposite side (12) and the hypotenuse (s) to solve for s.

Opposite and hypotenuse is sine, so we are using sine. The sine of 45 degrees is 0.70710678118. Make an equation like so:

0.70710678118 = $\frac{12}{s}$ , and we are solving for s.

Put a 1 in the denominator of sine(45 degrees) so you can cross-multiply.

$\frac{0.70710678118}{1} =\frac{12}{s}$

Cross multiply.

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Divide both sides by sine(45 degrees).

s = 16.97

The length of side s is 16.97 units.

Another way to have done this problem is to use the Pythagorean theorem: a^2 + b^2 = c^2

Substitute 12 for a and b and solve for c, the hypotenuse.

(12)^2 + (12)^2 = c^2

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144 + 144 = c^2

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288 = c^2

Square root 288 to solve for c.

c = 16.97, which is the same answer as you got using trigonometry.

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vesna_86 [32]

Answer:

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Step-by-step explanation:

We are given that Tublu buys a cylindrical water tank of height 1.4 m and diameter 1.1 m to catch rainwater off his roof. He has a full 2 liters tin of paint in his store and decides to paint the tank (not the base).

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From the question, it is clear the area of the tank which needs to be painted is the lateral surface area (because the base is not included).

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