Let x be the unknown number. The equation is going to be 7/28=25/x, now we cross multiply. 7*x=25*28, 7x=700, divide both sides by 7 and you should get 100, So, x=100 and 7/28=25/100
= 394 R 1
= 394 1/3
1183 divided by 3 equals
394 with a remainder of 1
<h3>
Answer: 24 feet (Choice D)</h3>
=============================================
Explanation:
Refer to the diagram below. The goal is to find x, which is the horizontal distance from the base of the tree to the swing set.
Focus on triangle BCD.
The angle B is roughly 30.26 degrees, and this is the angle of depression. This is the amount of degrees Emir must look down (when starting at the horizontal) to spot the swing set.
We know that he's 14 ft off the ground, which explains why AB = CD = 14.
The goal is to find BC = AD = x.
---------------------------
Again, keep your focus on triangle BCD.
We'll use the tangent ratio to say
tan(angle) = opposite/adjacent
tan(B) = CD/BC
tan(30.26) = 14/x
x*tan(30.26) = 14
x = 14/tan(30.26)
x = 23.9965714046732
That value is approximate. Make sure your calculator is in degree mode.
That value rounds to 24 feet when rounding to the nearest whole foot.
We are given that the titanic is found 3,797 m below sea
level. This is simply equivalent to 3.797 km or 3.8 km when rounded off to one
decimal.
We should take note that the letter k in km means kilo and
a kilo is equivalent to 1000. So this means that for 1 km there is exactly 1000
m. So to convert, simply multiply a value with unit m with this conversion
factor. Conversion factor = 1 km / 1000 m
Depth of titanic = 3,797 m (1 km / 1000 m)
<span>Depth of titanic = 3.797 km = 3.8 km</span>