Answer:
180 feet
Step-by-step explanation:
|-60+120| is 180
Length = 4x
width = 7x
perimeter is 2length+2width= 352
2(4x)+2(7x) = 352
8x+14x =352
22x = 352
x = 16
then length = 4*16=64
width =7*16=112
Answer:
The answer to your question is 8.5 m
Step-by-step explanation:
Data
angle = Ф = 12°
dept = 40 m
distance from the ship to the treasure = ?
Process
To solve this problem use trigonometric functions. The trigonometric function that relates the Opposite side and the adjacent side is tangent.
tan Ф = Opposite side / Adjacent side
-Solve for Opposite side
Opposite side = Adjacent side x tanФ
-Substitution
Opposite side = 40 x tan 12
-Simplification
Opposite side = 8.5 m
Answer:
106°
Step-by-step explanation:
Given that the points B, C and D are colinear, it means that
2x + 40 = 5x + 10
collecting like terms
40 - 10 = 5x - 2x
3x = 30
x = 10
Hence the angle ∠E
= 5(10) + 10
= 60°
∠BCE = X + 4
= 10 + 4
= 14°
Given that the sum of angles in a triangle is 180°
∠D + 14 + 60 = 180
∠D = 180 - 74
= 106°