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Gre4nikov [31]
2 years ago
11

A building 190 feet tall casts a 90 foot long shadow. if a person stands at the end of the shadow and looks up to the top of the

building, what is the angle of the person's eyes to the top of the building
Mathematics
1 answer:
Ivahew [28]2 years ago
5 0

Answer:

About 64.65 degrees

Step-by-step explanation:

\tan(x) =  \frac{190}{90}

x =  { \tan}^{ - 1}  \frac{190}{90}  = 64.65

Make sure your calculator is in degree mode.

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I need help! This is Geometry lesson 8-3 ! Please help me asap!!!!
gulaghasi [49]
If you learned about the 45-45-90 triangle (which is isosceles), then the faster way is to know that the hypotenuse (side opposite of right angle) is √2 times either one of the sides.
3√2 = (√2)x
x = 3

But if you didn't learn the 45-45-90 triangle yet, that's ok.
Recall the trigonometric ratios for right triangles: sine (sin), cosine (cos), tangent (tan).

If your angle is x, then
sin(x) = opposite side / hypotenuse
cos(x) = adjacent side / hypotenuse
tan(x) = opposite side / adjacent side

Remember the hypotenuse is the side opposite and across from the right angle (3√2 in this case).
An acronym to remember this is SohCahToa.

In this problem, the angle given is 45°, and you need to find the length of the adjacent side x. The hypotenuse is also given as 3√2.

Because we have the adjacent side and the hypotenuse, we use cosine to relate those two sides
cos(45°) = x / (3√2)
x = (3√2)cos45°
If you plug this into your calculator (in degree mode), then
x = 3

8 0
2 years ago
Carol is solving the inequality 3 have?<br> There are infinitely many solutions.<br> There are only two solutions.<br> There is
schepotkina [342]

Answer:

There are infinitely many solutions

Step-by-step explanation:

Firstly, I need to change f to x as the system won’t accept the word f

Let’s take a look at the question;

3 is less than x

The domain of our answer lies in the the range of values where we have numbers that are greater than 3

This means we can rewrite our inequality as x is greater than 3

Now, simply because we have an infinite amount of numbers which are greater than 3 of which x can take any of the values, we can conclude that the number of values we have for x are infinite and does not end

This makes us have infinitely many solutions for the value of x

6 0
3 years ago
Craig is folding laundry for his family. in the basket 1/6 of the shorts belong to his older brother and 3/6 of the shirts belon
marishachu [46]
I'm assuming you meant shirts instead of shorts for the older brother.

1/6 + 3/6 = 4/6

4/6 of the shirts belong to his brothers
(or 2/3 if you simplify the fraction)
5 0
3 years ago
Hey guys help me with this question plzzzzzz​
Ad libitum [116K]

Answer:

625 cm³ and 64000 cm³

Step-by-step explanation:

Given

x = \sqrt[3]{V} ( cube both sides )

x³ = V

(a)

x = 25 cm , then

V = 25³ = 625 cm³

(b)

x = 40 cm , then

V = 40³ = 64 000 cm³

5 0
2 years ago
Write the mixed number as a fraction.41\3
Tanya [424]
13 2/3
Hope this helped :)
8 0
3 years ago
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