Draw a triangle with shortest side on the ground (horiz.). The length of this side is 80 feet. Two angles touch the ground: a right angle, and the 70 degree angle.
Then the height of the building is the 2nd shortest side.
The tangent function is the appropriate one to use here:
opp h
tan 70 deg = -------- = ----------
adj 80 ft
h
Since tan 70 deg = 2.75, 2.75 = -------
80 ft
so h = building height = (80 ft)(2.75) = 219.8 ft
Answer:
Age of Eva = 15 Years
Age of Carrie = 45 Years
Step-by-step explanation:
Let the age of Eva be X years
Given that Carrie is 3 times as old as Eva
Therefore age of Carrie = 3X YEARS.
__________________________________________________________
After 15 years
Age of Eva = X + 15
Age of Carrie = 3X +15
Given that Carrie is twice as old as Eva
so according to this condition
age of Carrie = 2*Age of Eva
Substituting the age of Eva and Carrie
3X +15 = 2*(X + 15 )
=> 3X +15 = 2X +30
=> 3X - 2X = 30 - 15
=> X = 15
Since X was assumed age of Eva so age of Eva is 15 years
age of Carrie = 3X years = 3*15 = 45 years.
Y=mx+b
y= -2x+8
Rearranging gives you the answer of
2x +y - 8 = 0
Answer:
2.5 cm
Step-by-step explanation:
The volume of a triangular prism is cross section × length.
The cross section area is the triangle area. The triangle length is 4 cm, the height is not given. The length of the triangular prism is 7cm.
4 × h × 1/2 × 7 = 35
14h = 35
h = 35/14
h = 5/2
The height of the triangular cross section is 2.5 cm.
Answer:
this is what I got
Step-by-step explanation: