If you scroll up I answered a previous question like this in the same subject
Answer:
(b) 33
Step-by-step explanation:
The side opposite x° and the hypotenuse are given. That means the relevant trig relation is ...
Sin = Opposite/Hypotenuse
sin(x°) = 6/11
The value of the angle is found using the inverse sine function:
x° = arcsin(6/11) ≈ 33.056°
x ≈ 33
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<em>Additional comment</em>
If you recall, the side length ratios of the "special" 30°-60°-90° triangle are 1:√3:2. Here, you have a shortest:longest side ratio that is 6:11 ≈ 6:12 = 1:2. This means the angle will be only slightly greater than 30°.
A^2 + b^2 = c^2...a and b are the legs and c is the hypotenuse
8^2 + 5^2 = c^2
64 + 25 = c^2
89 = c^2...take the sqrt of both sides...this eliminates the ^2
sqrt 89 = c
9.4 = c....shortest path is 9.4 km
D is distance.
<span>d/2 + d/4 = 6 </span>
<span>3d/4 = 6 </span>
<span>d = 8 km </span>
<span>Check: at 2 k/h, 4 hours; </span>
<span>at 4 k/h, 2 hours; </span>
<span>total, 6 hours. hope i helped</span>
