Where are the choices to the problem??
Answer:
63.44 feet
Step-by-step explanation:
tan(68 degrees)= 85/y
y tan (68 degrees)=85
y=85/tan(68 degrees) ( cross multiply)
y = 34.34 feet
tan (41 degrees)=85/x+y
(x+y)tan(41 degrees)=85
x+y=85/tan 41 degrees
x=85/tan(41 degrees) - y
x= 85/tan (41 degrees)-(34.34) (cross multiply)
Therefore, Travis stepped back 63.44 feet to gain a better view!
Answer:
The distance between the light and the actor's face is 29.24 ft
Step-by-step explanation:
In the attached photo, you can see where the hypotenuse, the opposite side, and and adjacent side are located from the given angle measurement which is 70°. Our known side length is 10 ft which is our adjacent side and our variable is the hypotenuse. So, we will use <u>cos</u>.

Let's plug in our numbers and variable.

Since our hypotenuse is a variable, we are going to flip the equation so we can find the value of the hypotenuse which is also our variable.

Divide 10 by (cos)70.
<em>x = 29.24</em>
So, the hypotenuse is 29.24 feet which shows the distance between the light and the actor's face.
Answer:

Step-by-step explanation:
We can write the equation of a line in 3 different forms including slope intercept, point-slope, and standard depending on the information we have. We have a point given and a slope from the equation. We will chose point-slope since we have a point and the slope.
We will substitute
and
.

This is the equation of the line with slope -2 that passes through (5,-1).
8 x 40 x 4 = 1280 cubic feet
1.25 cubic feet = 1 bushel
1 cubic feet = 1/1.25 = 0.8
1280 cubic feet = 0.8 x 1280 = 1024 bushel