Answer:
0.40 foot
Step-by-step explanation:
In the first case, a 50 - foot building casts a- foot shadow (1-foot). Let the angle of elevation of the sun from the shadow be represented by θ.
Then:
Tan θ = 
Tan θ = 
Tan θ = 50
⇒ θ =
50
= 88.8542
= 
The angle of elevation is approximately
.
For a 20-foot pole,
Tan θ = 
Tan
= 
x = 
= 0.4015
= 0.40 foot
The length of the shadow of the pole is 0.40 foot.
Factored form refers to the form of a number or algebraic expression when it has been broken down into a product of its factors
Standard form is a way of writing down very large or very small numbers easily.
5 1/6 * (-2/5) = __
turn 5 1/6 into a mixed fraction
31/6 * (-2/5) = __
multiply
31 * -2 = -62
6 * 5 = 30
so -62/30 or -2 1/15
Hopefully the attachment helps too!
105,159 rounded to the nearest ten thousand is 100,000
Answer:
72
Step-by-step explanation:
<1 and <2 are not equal to each other
Let the angle directly above angle 2 (on the right side of the line) be angle 3
<1 and <3 are corresponding angle, which means they are equal
<2 and <3 are supplementary angles since the form a line
<2 + <3 = 180
We know <1 = <3
<1 + <3 = 180
We are given <1 = 2x+12 and <2 = 3x+18
2x+12 + 3x+18 = 180
Combine like terms
5x+30 = 180
Subtract 30 from each side
5x+30-30 = 180-30
5x= 150
Divide each side by 5
5x/5 = 150/5
x=30
<1 = 2x+12
Substitute 30 in for x to find angle 1
= 2*30 +12
=60+12
= 72