You are hiking up a mountain peak. You begin hiking at a trailhead whose elevation is about 9400 feet. The trail ends near the summit at 14,255 feet. The horizontal distance between these two points is about 17,625 feet. Estimate the angle of elevation from the trailhead to the summit.

Estimate angle of elevation = 15.4°

Step-by-step explanation:

Given:

Start elevation = 9,400 ft

Ends near the summit = 14,255 ft

horizontal distance = 17,625 ft

Find:

Estimate angle of elevation.

Computation:

⇒ Total elevation distance = Ends near the summit - Start elevation

⇒ Total elevation distance = 14,255 - 9,400

⇒ Total elevation distance = 4,855 ft

⇒ Tan A = 4,855 / 17,625

⇒ Tan A = 0.2754

⇒ Tan A = 15.4°

Estimate angle of elevation = 15.4°

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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