Answer:
x° ≈ 77.6°
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationships between trig functions and triangle sides. Side CD is common to the triangle on the left and the one on the right, so we can consider relationships that might help us use that to find the answer.
In the triangle on the right, we need a relationship between CD and BD. These sides are opposite and adjacent to the given angle, so we can use the relation ...
Tan = Opposite/Adjacent
tan(38°) = CD/3.5
Multiplying by 3.5, we can find CD:
CD = 3.5·tan(38°)
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In the triangle on the left, we know sides CD and CA, the side opposite x° and the hypotenuse of that right triangle. This lets us use the sine relationship:
Sin = Opposite/Hypotenuse
sin(x°) = CD/2.8
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Using our value for CD, this becomes ...
sin(x°) = (3.5·tan(38°)/2.8)
sin(x°) = (5/4)tan(38°)
Using the inverse sine function, we can find x° to be ...
x° = arcsin(5/4·tan(38°)) ≈ 77.6°
The size of the angle marked x° is about 77.6°.
Since there are 5 sunglasses with browline frames and polarized lenses, you would divide 5 by 16, therefore, the answer should be 5/16.
Answer:
v = 72 km/h
Step-by-step explanation:
Given that,
The distance covered by the Patrick, d = 288 km
Time taken, t = 4 hours
We need to find the average speed of Patrick. We know that the average speed of an object is equal to the total distance covered divided by total time taken. Let it is v. So,
So, his average speed is equal to 72 km/h.
