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:
x=30, <A=60, <C=30
Step-by-step explanation:
A triangle always has its total angles added up to 180 degrees, so we can set up the following equation:
90+2x+x=180
90+3x=180
3x=90
x=30
Since x=30, this means <C is 30 degrees. For <A, it's twice as much as <C, so 2*30=60.
So x=30, <A=60, <C=30
Hope this helped!
Answer:
easy way...
multiply Base x height (for both)
30 inches x 12 inches = 360 in
16 in. x 12 in = 192 in.
then add both
360 + 192 = 552
A=552 inches
Answer:
ok so if we take length to be x we know width is x-3
the perimeter is the total length of sides, if you look at a rectangle you can see it has 4 sides with 2 length and 2 width. so perimeter is 2 times (x + x-3) = 26.
2x -3 = 13, 2x = 16, x = 8, 8 is length
the width is then 8-3 = 5.
Length = 8, width = 5.
