In the World Cup Downhill held at Panorama Mountain Village in British Columbia, the skiers raced 3514 m down the mountain. If the vertical height of the course was 984 m, determine the average angle of the ski course with the ground.

16.3°

Step-by-step explanation:

This question above is a Trigonometry question that is solved using the formula of Sine

sin θ = Opposite/Hypotenuse

Opposite = The vertical height of the course = 984 m

Hypotenuse = The distance the skiers raced down the mountain = 3514 m

θ = The average angle of the ski course with the ground = ?

sin θ = 984 m/3514 m

sin θ = 0.2800227661

θ = arc sin (0.2800227661)

= 16.261563463°

≈ 16.3°

Therefore, the average angle of the ski course with the ground is 16.3°

step- i d k and i d c : )

you: : 0

bye

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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