If you draw a line along the middle of the cone, you'd finish up with two right triangles and the line even bisects the angle between the sloping sides. The shortest distance between the tip of the cone and its rim exists in the hypotenuse of a right triangle with one angle calculating 38.5°. So, utilizing trigonometry and allowing x as the measurement of the shortest distance between the tip of the cone and its rim.

Cos 38.5 = 40 / x

Solving the value of x, we get

Multiply both sides by x

$$\cos \left(38.5^{\circ}\right) x=\frac{40}{x} x$

$$\cos \left(38.5^{\circ}\right) x=40$

Divide both sides by $\cos \left(38.5^{\circ}\right)$

$$\frac{\cos \left(38.5^{\circ}\right) x}{\cos \left(38.5^{\circ}\right)}=\frac{40}{\cos \left(38.5^{\circ}\right)}$

simplifying the above equation, we get

$$x=\frac{40}{\cos \left(38.5^{\circ}\right)}$

x = 51.11cm

The shortest distance between the tip of the cone and its rim exits 51.11cm.

To learn more about right triangles refer to:

brainly.com/question/12111621

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7 0

1 year ago

Read 2 more answers

The national assessment of educational progress (naep) gave a test of basic arithmetic and the ability to apply it in everyday l

HACTEHA [7]

<span>Ans : a) What is the standard deviation of this sampling distribution? Ď /âšn = 60/âš840 =2.0702 b) 1 standard deviation of the mean = (1) 2.07 = 2.07 c) 272+/- 1(2.07) (269.93, 274.07)</span>

3 0

2 years ago

-3x+10=21 solve for x

Fed [463]

Answer:

Step-by-step explanation:

-3x+10=21

-3x=21-10

-3x=11

x=11/-3

x=- 11/3

8 0

2 years ago

11/20 as a simplified fraction

strojnjashka [21]

11/20 is already reduced you cannot simplify this fraction

3 0

2 years ago