Answer:
0.2
Step-by-step explanation:
Answer:

Step-by-step explanation:
Use the Distance Formula:
![\displaystyle \sqrt{[-x_1 + x_2]^2 + [-y_1 + y_2]^2} = D \\ \\ \sqrt{[6 - 1]^2 + [-7 + 1]^2} = \sqrt{5^2 + [-6]^2} = \sqrt{25 + 36} = \sqrt{61} ≈ 7,810249676 ≈ 8](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Csqrt%7B%5B-x_1%20%2B%20x_2%5D%5E2%20%2B%20%5B-y_1%20%2B%20y_2%5D%5E2%7D%20%3D%20D%20%5C%5C%20%5C%5C%20%5Csqrt%7B%5B6%20-%201%5D%5E2%20%2B%20%5B-7%20%2B%201%5D%5E2%7D%20%3D%20%5Csqrt%7B5%5E2%20%2B%20%5B-6%5D%5E2%7D%20%3D%20%5Csqrt%7B25%20%2B%2036%7D%20%3D%20%5Csqrt%7B61%7D%20%E2%89%88%207%2C810249676%20%E2%89%88%208)
Since we are talking about distance, we ONLY want the NON-NEGATIVE root.
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To solve for variable h flip the equation. You get: 12gh=f. After, divide both sides by 12 to get your answer: h=f/12g
Answer:
$5.70
Step-by-step explanation:
→ Find the total amount they needed to pay
11.40 × 2 = 22.80
→ Divide the total by 4
22.80 ÷ 4 = $5.70
The angle of elevation from the hiker to the park ranger is the same as the angle of depression from the ranger to the hiker, 29°.
The tangent function of an angle is the ratio of the opposite side (500') to the adjacent side (x) in the right triangle shown. That is
tan(29°) = 500' / x
Multiplying the equation by x/tan(29°) gives
x = 500' / tan(29°)
x ≈ 500' / 0.5543
x ≈ 902 ft