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:
7) D
8) A
9) A
10) D
11) C
12) B
Step-by-step explanation:
Oh boy, here we go again
First we must convert 1 2/3 to an improper fraction. By doing this, we get 5/3 (3/3 + 2/3)
So now we have 273 / 5/3
To divide this easier we can do something that when I learned it was called (keep, change, flip) which basically means keep the first fraction, change the sign from division to multiplication, and flip the second fraction
This now turns into: 273/1 * 3/5
Combine 273 and 3/5
273⋅3/5
Multiply 273
by 3
819/5
is your answer
