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Gre4nikov [31]
1 year 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]1 year 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.

You might be interested in
4. Find the value of x in the right triangle below.<br> 60°
antiseptic1488 [7]

Answer:

  12

Step-by-step explanation:

It is worthwhile memorizing the ratios of legs in a 30°–60°–90° triangle. Shortest to longest, the ratios are ...

  1 : √3 : 2

Then the sides marked will have the ratio ...

  6 : x = 1 : 2 = 6 : 12

  x = 12

_____

You can also get there using trigonometry.

  cos(60°) = 6/x

  x = 60/cos(60° = 60/0.5

  x = 12

7 0
2 years ago
Need help asap please
il63 [147K]

Answer:

\displaystyle 77

Step-by-step explanation:

Isosceles triangles will always tell you what you need to know. All angles are congruent, therefore all edges are congruent. ‍♂️

I am joyous to assist you at any time.

8 0
2 years ago
Please help out and if you know help me show work ??
Ghella [55]

Answer:  14

<u>Step-by-step explanation:</u>

Consecutive even numbers would be {2, 4, 6, 8, 10, ...}

Let x represent the smallest number, then x + 2 is the middle number and x + 4 is the largest number.

1st number: x

2nd number: x + 2

3rd number: x + 4

1st number + 2nd number + 3rd number = Sum

      (x)        +      (x + 2)       +      (x + 4)      =  48

                                                      3x + 6   =  48

                                                      3x          = 42

                                                        x           = 14

1st number: x           ⇒ x = 14

2nd number: x + 2   ⇒ 14 + 2 = 16

3rd number: x + 4    ⇒ 14 + 4 = 18

<u>Check:</u>

14 + 16 + 18 = 48 \checkmark

 

7 0
2 years ago
Given: (3.2 x 103) + (5.78 x 105) Solve the problem. Show and explain all of your work. ??????
qaws [65]
Simple....

you have: (3.2*103)+(5.78*105)

You want to simplify it..but first remember your order of operations...

1.) Remove the parentheses-->>

(3.2*103)=329.6

and

(5.78*105)=606.9

Which leaves you with...

329.6+606.9=

=936.5

Thus, your answer.
7 0
3 years ago
1. Find the phase shift of the function y = 5cos(2x + pi/2).
kolezko [41]

Answer:

see explanation

Step-by-step explanation:

1

The cosine function in standard form is

y = acos(bx + c)

where a is the amplitude, period = \frac{2\pi }{b} and

phase shift = - \frac{c}{b}

here b = 2 and c = \frac{\pi }{2}, thus

phase shift = - \frac{\frac{\pi }{2} }{2} = - \frac{\pi }{4}

2

the amplitude = | a |

which has a maximum of a and a minimum of - a

y = 4cosx ← has a maximum value of 4

5 0
3 years ago
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