Answer:
-94.5
Step-by-step explanation:
7.5 less 102 is equivalent to the negative of 102 less 7.5: -(102 - 7.5) = -94.5.
It is not strictly necessary to reverse the order of the numbers as shown above, but 102 - 7.5 is more famliar (and thus easier to deal with) than
7.5 - 102.
Answer:
5^6
Step-by-step explanation:
by the law of exponents,
5^2 * 5^(-8)
5^ [2+ (-8)]
5^(2-8) = 5^-6 = 1/5^6 = 5^6
For 3. It is the fourth choice. This is because angle DGF is vertical angle and thus equal to angle EGB. Then angle BGF is supplementary to this angle.
So your answer is EGB+BGF=180
For 4. It is the first choice of 62 ft. It is the midpoint so is half the total line segment.
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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