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
Answer:
Answer is 4.2
Step-by-step explanation:
Answer:
(12, -23)
Step-by-step explanation:
to find x, substitute the value of y into y
-2x+1=-3x+13
collecting like terms
-2x+3x=13-1
x=12
to find y substitute the value x=12 into any of the equation
y=-3x+13
y=-3(12) +13
y= -36+13
y=-23
Answer:
(0,-4)
Step-by-step explanation:
substitute 0 for x and solve for y
Answer:
u = 14
Step-by-step explanation:
2u - 17 = 11
add 17 to both sides:
2u - 17 + 17 = 11 + 17
2u = 28
divide both sides by 2:
2u/2 = 28/2
u = 14
