Answer:
<u>Story</u>
Jane is 1.7 m tall. She stands 250 m away from the base of the Eiffel tower and looks up at the top of the building. The angle of elevation from her eyeline to the top of the building is 45°.
<u>Question</u>
Calculate an estimate of the height of the building. Give your answer to the nearest meter.
<u>Calculation</u>
Label the sides of the triangle O, A and H (where O is the side opposite to the angle, A is the side adjacent to the angle and H is the hypotenuse).
In the triangle, the angle and side A is known, and O must be calculated.
Therefore, use the trig ratio tan(x) = O/A:
⇒ tan(40) = O/250
⇒ 250tan(40) = O
⇒ O = 209.7749078...
Assume Jane's eye-level is approximately 1.5 m above the ground.
Therefore, the Eiffel tower is approximately:
209.7749078... + 1.5 = 211.2749078.. meters tall
Rounding to the nearest meter ⇒ 211 m
A.)
<span>s= 30m
u = ? ( initial velocity of the object )
a = 9.81 m/s^2 ( accn of free fall )
t = 1.5 s
s = ut + 1/2 at^2
\[u = \frac{ S - 1/2 a t^2 }{ t }\]
\[u = \frac{ 30 - ( 0.5 \times 9.81 \times 1.5^2) }{ 1.5 } \]
\[u = 12.6 m/s\]
</span>
b.)
<span>s = ut + 1/2 a t^2
u = 0 ,
s = 1/2 a t^2
\[s = \frac{ 1 }{ 2 } \times a \times t ^{2}\]
\[s = \frac{ 1 }{ 2 } \times 9.81 \times \left( \frac{ 12.6 }{ 9.81 } \right)^{2}\]
\[s = 8.0917...\]
\[therfore total distance = 8.0917 + 30 = 38.0917.. = 38.1 m \] </span>
Answer:
12x-4
Step-by-step explanation:
15x*
5/4=12x
-5*4/5=4
Add the two together and you get
12x-4
$27.5 for each case of water
$17.91 for each case of juice
In short simply we "multiply one fraction's top and bottom by the other's denominator", so let's do so,
