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1 answer:
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Answer:
<em>The angle of elevation of the sun is 32°</em>
Step-by-step explanation:
<u>Right Triangles</u>
The flagpole and the ground form a right angle (90°). In triangles with right angles, the trigonometric ratios are satisfied.
Each acute angle has an adjacent leg and an opposite leg. The tangent ratio relates to both legs.
The opposite leg to angle x is 20 ft and the adjacent leg is 32 ft, thus:
Calculate x by using the inverse tangent:
The angle of elevation of the sun is 32°
Answer:
2.48×10^13 miles
Step-by-step explanation:
There are about (365.25 days)(86400 seconds/day) = 31,557,600 seconds in one year. There are 1609.344 meters in one mile. So, the conversion can be written as ...
(4.22 ly) (3×10^8 m/s) (3.15576×10^7 s/yr) / (1.609344×10^3 m/mi)
= 4.22×3×3.15576/1.609344×10^(8+7-3) mi
≈ 24.8×10^12 mi
4.22 light years is about 2.48×10^13 miles
