The distance AB measures 185.77 feet.
Step-by-step explanation:
According to the attached figure, in triangle ABC,
∠B = 103.2°, ∠C = 14.4° and side BC = 661 feet.
We need to calculate AB's measure.
Since ∠A + ∠B + ∠C = 180°
∠A + 103.2 + 14.4 = 180
∠A + 117.6 = 180
∠A = 180 - 117.6
= 62.4°
Utilizing the sine rule in the triangle ABC,
AB =
= 185.77 feet.
Thus, AB = 185.77 feet is the solution.
Option D is indeed correct, as it ensures that the post's point is equidistant from the ground, maintaining a perpendicular angle at two points on the surface.
In each instance, when it sheds a shell, its size increases by a factor of 1 1/3. To determine the growth after the first molt, multiply 1 cm by 1 1/3 to get 1 1/3 cm. To find the next size, repeat the multiplication: 1 1/3 cm times 1 1/3 cm equals 16/9. This process will continue by multiplying by 1 1/3. We can express it mathematically as (initial size) * 1 1/3 *(number of shells) equals length or 1 cm * 1 1/3 * n equals L. Given that the final length is 10 cm, accordingly, 1 1/3 * n equals 10 cm, leading to n being 7.5 shells, which translates to either about 7 or 8 shells.
