What is the volume of the square pyramid shown, if the base has a side length of 8 and h = 9? A) 192 B) 224 C) 368 D) 576
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A passenger flies on a heading of N40W with an airspeed of 240 km/h. His actual ground velocity is 250 km/h at a bearing of N60E. the speed and direction of the wind are V=245.15kw/h at N83.46E. This is further explained below.
<h3>What is the speed and direction of the wind.?</h3>Generally, the equation for the cosine rule is mathematically given as
a2 = b2 + c2 – 2bc cos ∠x.
Therefore
V^2 = (240^2 + 250^2) – (2(240*250)* cos 100)
V^2=140937.7813
V=375.42kw/h
In conclusion, the sine rule is mathematically given as
Sin x/240=sin60/375.42kw/h
Therefore
sin x=sin100*250/375.42kw/h
x=40.981
Hence
Direction N83.46E
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#SPJ1
1.7 hrs
Step-by-step explanation:
We can use cosine law to find the distance d:
where. a = 3 mi
b = 4 mi
gamma = 71.7°
d^2 = (3mi)^2 + (4 mi)^2 - 2(3 mi)(4 mi)cos(71.7)
= 9 mi^2 + 16 mi^2 -24cos(71.7)
= 17.464 mi^2
or
d = 4.2 mi
To find the time it takes for him to go from the cave to the waterfall, divide this distance d by his walking rate of 2.5 mi/hr:
t = d/v = 4.2 mi/2.5 mph
= 1.7 hrs