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Answer:
The distance between the two boats after 2.5 hours is 57 m.
Step-by-step explanation:
The distance covered by each boat after 2.5 hours are:
speed =
distance = speed x time
For boat A, speed = 14 km/h and time = 2.5 hrs.
So that,
distance = 14 x 2.5
= 35 km
For boat B, speed = 18 km/h and time = 2.5 hrs.
So that,
distance = 18 x 2.5
= 45 km
The distance between the two boats after travelling 2.5 hours can be determined by applying the cosine rule. Let the distance be represented by x, so that:
=
+
- 2bc Cos A
=
+
- 2(45 x 35) Cos
= 2025 + 1225 - 3150 (0)
= 3250
x =
= 57.0088
x = 57.0 m
The distance between the two boats after 2.5 hours is 57 m.
So remember the acronym "SOH CAH TOA"
- Sin = Opposite/Hypotenuse
- Cos = Adjacent/Hypotenuse
- Tan = Opposite/Adjacent
- Opposite = Side that doesn't touch the angle
- Adjacent = Side that touches the angle
- Hypotenuse = Side that is across from the right angle
So we see that side a doesn't touch angle , hence making it the opposite side. And we see that side b is across from the right angle, making it the hypotenuse. <u>Using this info,
</u>
So we already know from part A that side b is the hypotenuse. And also since side c touches the angle, it is the adjacent.<u> Using this info, </u>
Next, it has been established that side c is the adjacent and side a is the opposite side. <u>Using this info, </u>