Answer:
14) 21.136505024965 m
15) 43.076759215619 km
Step-by-step explanation:
14)
let h be the height of the lighthouse:
tan(41.3) = 18.7/h
Then
h = 18.7÷tan(41.5)
= 21.136505024965 m
………………………………………
15)
90-71.4 =18.6
Let s be the distance that the plane flew
towards the south:
tan(90 - 71.4) = s/128
Then
tan(18.6) = s/128
Then
s = tan(18.6)×128
= 43.076759215619 km
Answer:
To begin with we know that a line must have an angle measure of 180, and those two angles in your photo are supplementary angles. Based on this you get this equation: 8x+6+118=180, the answer of that is 8x=56 simplify it to get x=7
Answer:
Step-by-step explanation:
We are given that the equation of lines
According to question
The vector perpendicular to the lines is given by
and 
Therefore, the angle between two vectors is given by
Using the formula
Hence, the acute angle between the lines is given by
Answer:
1st side= 4m
2nd side= 8m
3rd side= 12m
Step-by-step explanation:
Let the first, second and third side of the triangle be a, b and c meters respectively.
a= b -4 -----(1)
c= 3a -----(2)
Perimeter of triangle
= a +b +c
= 24
a +b +c= 24 -----(3)
From (1): b= a +4 -----(4)
Subst. (2) and (4) into (3):
a +(a +4) +3a= 24
3a +a +a +4= 24
5a +4= 24
5a= 24 -4
5a= 20
Divide both sides by 5:
a= 20 ÷5
a= 4
Substitute a= 4 into (4):
b= 4 +4
b= 8
Substitute a= 4 into (2):
c= 3(4)
c= 12
Thus, the lengths of the first, second, and third side of the triangle are 4m, 8m and 12m respectively.
