A shadow measures 88 m: d = 88 m.
The angle : α = 32°
We will use trigonometry:
h / d = tan α
h / 88 m = tan 32°
h / 88 m = 0.62489
h = 88 m * 0.62489
h = 54.9885 m ≈ 55 m
Answer: The approximate height of a building is 55 meters.
4 days.
If it takes 6 days for 8 people to pick apples then it must take 48 days for 1 person to do it because 6•8=48.
So then it must take 12 people
48/12 days which is 4 to pick apples from trees.
Red: (5 x 1,350)/9 = 750
Blue: (3 x 1,350)/9 = 450
White: (1 x 1,350)/9 = 150
C
given 1 /( 3 + √2 )
then rationalise the denominator by multiplying the numerator/ denominator by the conjugate of the denominator
the conjugate of 3 + √2 is 3 - √2
1 / (3 + √2 ) × (3 - √2 ) / (3 - √2 )
= (3 - √2 ) /( 9 - 2 ) = (3 - √2 ) / 7
Based on the given values above, this is how the measurements can be written as a decimal.
Firstly, we need to convert the fractions into decimals first:
a. 1/10 is 0.1
b. 1/100 is 0.01
c. 1/1000 is 0.001
Next, we multiply this to their corresponding numbers given:
a. 9 x 0.1 is 0.9 meter
b. 6 x 0.01 is 0.06 meter
c. 4 x 0.001 is 0.004 meter
Therefore, the measurements of the piece of wood that Marco has are: 0.9, 0.06 and 0.004 meters. Hope this answer helps.