Swanson plans to attempt to swim across the lake from point A to point B as shown below. [Solved]

Swanson plans to attempt to swim across the lake from point A to point B as shown below. To determine how far he will have to swim, he has chosen a point C and calculated the labeled data. How many miles will he have to swim Round your answer to two decimal places.

Draw a perpendicular from C to AB. Let it touch at D. Let the angle ACD=x, BCD=y, We have x y=43.5=theta
Let h be the height. Now we have
h =AC cos x= BC cos y= BC cos (theta-x)=BC( cos theta cos x sin theta sin x)
This gives
cos x (AC-BC cos theta) = BC sin theta sin x
tan x = (AC BC cos theta)/(BCsin theta)=0.1
x=5.7
y=43.5-5.7=37.8
AD= AC sin (5.7)=0.84
BD= BC sin37.8=6.558
The total distance to swim is 6.558 0.84=7.398 miles.
You can follow this calculation to check this result.

This post is last updated on hrtanswers.com at Date : 1st of September – 2022

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