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a man casts a 3 feet long shadow. if the suns rays strike the ground 62°, what is the height of the man?

Romashka [77]

Answer:

h = 3*tan(62) where h is the height

Step-by-step explanation:

You basically have a right triangle. the standing man is the vertical line, the shadow is the horizontal line and the 62 degrees is the angle betweenthe horizontal line and the hypotenuse.

So, relative to the angle we have the adjacent angle and opposite. What uses those? Tangent. tan(x) = opp / adj

tan(62) = h/3

h = 3*tan(62) where h is the height

7 0

3 years ago

The circular opening of an ice cream cone has a diameter of 7 centimeters. The height of the cone is 10 centimeters. What is the

marin [14]

We have been given that the circular opening of an ice cream cone has a diameter of 7 centimeters. The height of the cone is 10 centimeters. We are asked to find the volume of the ice-cream cone.

We will use volume of cone formula to solve our given problem.

$V=\frac{1}{3}\pi r^2 h$ , where

r = Radius of cone,

h = Height of cone.

We know that diameter is two times the radius, so radius will be half of diameter that is $r=\frac{7}{2}$ .

$V=\frac{1}{3}\pi\cdot (\frac{7}{2})^2\cdot 10$

$V=\frac{1}{3}\pi\cdot (\frac{49}{4})\cdot 10$

$V=128.2817$

$V\approx 128.3$

Therefore, the volume of the cone would be approximately 128.3 cubic cm.

6 0

3 years ago

A cable runs from the top of a pole to a spot on the ground 10 feet from the base of the pole. The pole makes a right angle with

Amanda [17]

Use the cos ratio to figure this out. You have the length of the hypotenuse and the length of the leg on the ground. The hypotenuse is 20 and the leg is 10. The cos ratio says that cosA = side adjacent/hypotenuse. So fill in the blanks here: cosA = 10/20...cosA=1/2. In your calculator, you will enter inverse cos(.5) to find that the angle in question is 60 degrees. To find the inverse function on your calculator, press the "2nd" button and the "cos" then in the (), enter ".5".

7 0

3 years ago

You see a top you want to buy for $97, but you don't have any money so you borrow $50 from your mom and $50 from your dad. You b

Lelu [443]

Answer: Anything you buy is never just money you have to pay tax so you 1$ is tax

6 0

4 years ago

2 ln(x + 2) − ln(−x) = 0

enyata [817]

Answer:

$x=-1$