Applying the tangent ratio, the distance from A to C across the gorge, is: 60.6 ft.
<h3>What is Tangent Ratio?</h3>
The tangent ratio for solving a right triangle is given as, tan ∅ = opposite/adjacent.
Given the following:
- ∅ = 25°
- Adjacent length = 130 ft
- Opposite length = AC
Apply the tangent ratio:
tan 25 = AC/130
AC = (130)(tan 25)
AC = 60.6 ft
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Rise over run is -2/4 or simplified as -1/2
The second one is
8 divided by 2 4/9 is equal to 36/11.
2 4/9 = 22/9
8 : 22/9 = 8* 9/22= 36/11
(7 - 2i)(8 + 9i)
= 7(8 + 9i) + -2i(8 + 9i)
= 56 + 63i + -16i - 18i²
= 56 + 47i +18 <em> (NOTE: i² = -1 → (-18)(-1) = +18)</em>
= 74 + 47i
Answer: 74 + 47i
