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1 answer:
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Answer:
Jane's height is <u>63 inches</u>.
Step-by-step explanation:
Given:
Jane has her height measured using a metric ruler as 1.6 meters. She would like to know her height in inches. She knows that there are 100 centimeters in a meter and 2.54 centimeters in an inch.
Now, to find jane's height to the nearest inch.
The height of Jane measured using metric ruler = 1.6 meters.
As, 1 meter = 100 centimeters.
So, by using conversion factor we convert the height of Jane into centimeters from meters:
<em>Height of Jane in centimeters = 160.</em>
As given, 2.54 centimeters in an inch.
Now, we convert the centimeters by using unitary method:
If, 2.54 centimeters = 1 inch.
Then, 1 centimeters =
So, 160 centimeters =
<em>Thus, the height nearest to inch = 63 inches.</em>
Therefore, Jane's height is 63 inches.
Answer:
Hector's kite is 61.84 feet from the ground.
Step-by-step explanation:
The angle of elevation of the kite is 42°15’30” when converted to decimals, it is ≅
Let the height of the kite to the horizontal of angle of elevation be represented as x. Applying the trigonometric function to the sketch of Hector's kite,
Sin θ =
Sin =
⇒ x = 86 x Sin
= 86 x 0.6725
= 57.835
x ≅ 57.84 feet
The height of Hector's kite from the ground = x + 4
= 57.84 + 4
= 61.84 feet