Answer: 111.4m
Explanation:
1) Trigonometric ratios
You only need to use tangent ratio.
tangent ratio = opposite-leg / adjacent-leg = balloon height / horizontal distance
2) First, find the height of the ballon when he is watching at an angle of elevation of 28°
tangent ratio = opposite-leg / adjacent-leg = balloon height / horizontal distance
tan(28°) = balloon height/65m ⇒balloon height = tan(28°)×65m
balloon height = 34.56m
3) Second, find the height of the balloon,when he is watching at an angle of elevation of 66°
tan(66°) = height of the balloon / 65m ⇒ height of the balloon = tan(66°)×65m
height of the balloon = 145.99m
4) Vertical distance the balloon ascended while Charlie watched.
Subtract the final initial height from the final height:
145.99m - 34.56m = 111.43m
4) Round to the nearest tenth: 111.4 m
You cross multiple to get the same denominator so you can properly divide the fraction
Answer:
(b) 1/3
Step-by-step explanation:
because it has 3 equal parts
That would be 6.64 / 1.35 = 4.9 times (to the nearest tenth.)
