Answer:
The distance from both of them = 1463.925 ft
Step-by-step explanation:
The building is 964 ft tall . 2 people are standing on the ground directly west of the building. The first person looks up at an angle of 62° to the top of the building while the second person did same at an angle of 26°. The distance between them can be computed below.
The illustration forms a right angle triangle . Using the SOHCAHTOA principle let us find the distance of the second person from the building
tan 26° = opposite/adjacent
tan 26° = 964/adjacent
adjacent tan 26° = 964
adjacent = 964/tan 26°
adjacent = 964/0.48773258856
adjacent = 1976.49290328 ft
The distance from the second person to the building = 1976.493 ft
Distance of the first person to the building
tan 62° = opposite/adjacent
tan 62° = 964/adjacent
adjacent tan 62° = 964
adjacent = 964/tan 62°
adjacent = 964/1.88072646535
adjacent = 512.567892122
distance from the first person to the building = 512.568 ft
The distance from both of them = 1976.493 ft - 512.568 ft = 1463.925 ft
Answer:
a) (11/7, 9/7)
b) There's no point of intersection
Step-by-step explanation:
a) x - 2y + 1 = 0
2x + 3y - 7 = 0
To find the point of intersection, we need to solve the system of equations and the result will be the point of intersection (x,y)
Now we substitute x in the second equation:
Now we substitute y in our first equation.
.
The point of intersection is (11/7, 9/7)
b) x -2y +11 =0
-x + 2y - 13 =0
We are going to follow the same procedure:
Since this system of equations doesn't have a solution, the system has no point of intersection.
Answer:
FV= $21,038.28
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $15,000
Interest rate (i)= 7% compounded annually
Number of periods (n)= 5
<u>To calculate the future value (FV), we need to use the following formula:</u>
FV= PV*(1 + i)^n
FV= 15,000*(1.07^5)
FV= $21,038.28
Answer:
45°
Step-by-step explanation:
Northeast (NE), 45°, halfway between north and east, is the opposite of southwest. Southeast (SE), 135°, halfway between south and east, is the opposite of northwest. Southwest (SW), 225°, halfway between south and west, is the opposite of northeast.
8-2 and then 3 divided by 6 which will give you 0.5 so x=0.5