2*2*3*3*5 is the prime factorization
The height of the hawk flying over the tree is 462.14 feet
<h3>How to find the height of the hawk using angle of elevation?</h3>
The observer (O) is located 660 feet from a tree (T).
The observer notices a hawk (H) flying at a 35° angle of elevation from his line of sight.
The situation forms a right angle triangle.
Therefore, using trigonometric ratios,
tan ∅ = opposite / adjacent
where
- ∅ = angle of elevation
- opposite side = height of the hawk
- adjacent side = distance of the observer from the tree
Therefore,
tan 35 = h / 660
cross multiply
h = 660 tan 35
h = 660 × 0.70020753821
h = 462.136975218
h = 462.14 feet
Therefore, the height of the hawk flying over the tree is 462.14 feet.
learn more on angle of elevation here: brainly.com/question/6286482
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Answer:
~ 3 1/2 days
Step-by-step explanation:
Mr.Tram travels at a constant speed of 60 km per hour, and travels for up to 8 hours per day (max). Multiply 8 with 60:
60 x 8 = 480
Next, divide 480 from 1620 to get the amount of days:
1620/480 = 3.375
~ 3 1/2 days is how long Mr.Tram will take to travel from Dallas, TX to Detroit, MI.
~
Step-by-step explanation:
<h3>let ,(-3,-8)=(X2,y2)</h3>
(-3,5) =(x1,y1)
then
slope (M) =
={(-8)-5 }÷{(-3)-(-3)}
= -13÷ 0
=0