Answer:
height of the flag from the bottom of the boat ≈ 32 ft (nearest foot)
Step-by-step explanation:
She is on her boat and the angle of elevation to the top of the flag is 58°. Her eyes her 6 ft above the bottom of the boat she is sailing on. The height of the flag from the bottom of the boat is the sum of the height of the flag and the remaining height from the horizontal line of sight upward to the flag top.
A right angle triangle was formed Shianne line of sight. The angle from her line of sight is 58° from the horizontal. Therefore,
the adjacent side of the triangle formed is 16 ft which is the distance from the boat to the flag.
adjacent side = 16 ft
opposite angle = ?
using tangential ratio
tan 58° = opposite/adjacent
tan 58° = h/16
cross multiply
h = 16 × 1.60033452904
h = 25.6053524647
height of the flag from the bottom of the boat = 25.6053524647 + 6 = 31.6053524647
height of the flag from the bottom of the boat ≈ 32 ft(nearest foot)
Answer:
The perimeter of the rectangle is 27n + 1 feet
Step-by-step explanation:
The formula of the perimeter of the rectangle is P = 2(L + W), where
- L is the length of the rectangle
- W is the width of the rectangle
∵ The width of a rectangle is 7n - 6.5 feet
∴ W = 7n - 6.5 feet
∵ The length of the rectangle is 6.5n + 7 feet
∴ L = 6.5n + 7 feet
→ Substitute W and L in the formula of the perimeter above
∵ P = 2[6.5n + 7 + 7n - 6.5]
→ Add the like terms
∴ P = 2[(6.5n + 7n) + (7 - 6.5)]
∴ P = 2[13.5n + 0.5]
→ Multiply the terms in the bracket by 2
∴ P = 27n + 1
∴ The perimeter of the rectangle is (27n + 1) feet
Answer:
the answer is 12pie
Step-by-step explanation:
6mm is radius
circumference is ×2
so its 12
Do you need this in equation form or true or false?
