Drawing a diagram of a triangle may be helpful. The hypotenuse is irrelevant, but the vertical leg and the horizontal leg are useful. Since we know the engineer is looking up at a 45 degree angle from a distance of 200 feet, we can label the vertical leg the "opposite", since it is on the opposite side of the angle we are given. The horizontal leg then becomes the "adjacent". You can then use trigonometry to solve for the opposite.
The options are:
sin(theta)= opposite/hypotenuse
cos(theta)= adjacent/hypotenuse
tan(theta)= opposite/adjacent
Since we don't care about the hypotenuse, the last equation is the one to use. The angle we are given can be substituted in for theta:
tan(45)= x/200
1.61977519= x/200
x= 323.955038 feet

6 0

3 years ago

HELP PLEASE Write the inequality that models the number granola bars (12) you need to buy.

Goshia [24]

The correct question in the attached figure

Let
x-------------> the number of granola bars
y-------------> the pounds of fruit

we know that

if 12 bars------------> cost $12
1 bars--------------> X
X=12/12---> x=$1
1 bar---------> cost $1

if 9 pounds of fruit----------> cost $36
1 pound-------------------> X
X=36/9--------> x=$4
1 pound -------> cost $4

expression for the total cost=(1)*x+(4)*y----------> x+4y
x=12
y=9
then
the total cost=12+4*9----- $48

an inequality that compares
the total cost with the amount you have to spend is
x+4y<=48

using a graph tool see the attached figure

the inequality that models the number of granola bars you need to buy is

x<=12 the solution for the number of granola bars is the interval [0,12]

7 0

3 years ago