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stich3 [128]
3 years ago
8

Jared is standing on the roof of a 100 meter building doing some surveying. He spots a delivery truck at an angle of depression

of 30 degrees. How far is the truck from the base of the building?
Mathematics
2 answers:
just olya [345]3 years ago
8 0
1st :The angle of depression 30° = the angle of elevation (from the truck to the height of the building.

2nd :
cos 30° = (adjacent side)/(hypotenuse)
cos 30° = x/100, but cos 30°= (√3)/2

(√3)/2 = x/100 and x = (100√3)/2

and x = (50.√3) = 86.60 m

Brums [2.3K]3 years ago
3 0
The truck is 173.20508 meters away because the triangle is a 30 60 90 degree triangle. Therefore you would do. 100(radical)3
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Adam borrowed $5,600 from the bank. The bank charges 4.2% simple interest each year.
Igoryamba

Answer:

$235.2

Step-by-step explanation:

Given data

Principal=  $5,600

Rate= 4.2%

Time= 1 year

The expression for the simple interest is given as

SI= PRT/100

substitute

SI= 5600*4.2*1/100

SI= 23520/100

SI=$235.2

Hence after 1 year he will pay $235.2

4 0
3 years ago
Nick and his cousin Sarah have the same birthday but Nick is 4 years older than cigarettes the variables that represents next ag
ad-work [718]

x = Nick's age                    y = Sara's age

Nick is 8 years older than Sara, therefore

y = x - 8


3 0
3 years ago
5z-12z-10=18+7z<br><br> Im not sure how to do this
OLga [1]

Answer:

The answer is z = -2

Step-by-step explanation:

You combine like terms.

Then subtract 7z from both sides.

Add 10 to both sides.

Then divide both sides by -14. (28/-14)

Which then equals to -2

4 0
3 years ago
Last one, use trigonometry to help you solve for y given that one side is 4 and there is an angle of 50 degrees.
Ostrovityanka [42]

Answer:

y = 6.22

You can solve this in two ways.

1.) Use SOH CAH TOA:

I typically start off by labeling the sides of the triangle with H (hypotenuse), O (opposite), and A (adjacent). Because I need to figure out what y is when given an angle and 4, I will use CAH, or cosine.

\cos(angle)  =  \frac{adjacent}{hypotenuse}

\cos(50)  =  \frac{4}{y}

\cos(50)  \times y = 4

y =  \frac{4}{ \cos(50) }

y = 6.22

2.) Use Law of Sines:

Solve for the last angle inside the triangle first.

180 - (50 + 90) = 40

Then use the angle you found (40°) in the equation.

\frac{4}{ \sin(40) }  =  \frac{y}{ \sin(90) }

\frac{4}{ \sin(40) }  \times  \sin(90)  = y

y = 6.22

3 0
3 years ago
Complete the equation so that it has solutions of –5 and 7. x2 + x +
zubka84 [21]

Answer:

x² - 2x - 35

Step-by-step explanation:

x₁ = -5

x₂ = 7

-5 * 7 = -35

5 - 7 = -2

x² - 2x - 35 = 0

(x - 7)(x + 5) = 0

x - 7 = 0

x₁ = 7

x + 5 = 0

x₂ = -5

7 0
3 years ago
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