You can compute the height by using proportions:
(90/162) = (H/108), which would be read, 90 is to 162 as H is to 108.
then solve for H, which is the actual height of the emu.
H = (90/162) x 108
= 59.94 inches
3 feet
If the building casts a shadow, then the sun is out, and any man who is not standing in theshadow of the building will cast a shadow of his own, no matter how short or tall he may be.(If you had told us the length of the man's shadow, it would have been a completely differentquestion, and we could have had a completely different answer to offer in response.)
It sounds like a homework question, so I am going to act like a tutor. What you need to do is convert the height of the building and the shadow into inches. Fifty three feet three inches is equal to how many inches? 30 feet is equal to how many Inches? Then all you have to do is figure out the ratio (larger number divided by smaller number in this case) and multiply that by the height of the shadow of the man) Then you might want to convert back into feet and inches. Hint: the building is taller than its shadow, so the man also will be taller than his shadow.
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The man is 5.96 feet tall and the lamp is 17.88 feet high.
60 inches, or 5 feet.
3 feet
It works out as 12 feet and 4 inches in height
To cast a 19 foot shadow the building would have to be 26.91 feet tall. Each foot of building/tree casts 8.47 inches of shadow.
If the building casts a shadow, then the sun is out, and any man who is not standing in theshadow of the building will cast a shadow of his own, no matter how short or tall he may be.(If you had told us the length of the man's shadow, it would have been a completely differentquestion, and we could have had a completely different answer to offer in response.)
It sounds like a homework question, so I am going to act like a tutor. What you need to do is convert the height of the building and the shadow into inches. Fifty three feet three inches is equal to how many inches? 30 feet is equal to how many Inches? Then all you have to do is figure out the ratio (larger number divided by smaller number in this case) and multiply that by the height of the shadow of the man) Then you might want to convert back into feet and inches. Hint: the building is taller than its shadow, so the man also will be taller than his shadow.
The tree is 34.5 feet tall because tangent ratio of 34.5/24 = 5.75/4
As the question is stated, Tom is standing IN THE TOWER'S SHADOW. If so, then Tom can't cast a shadow of his own, because he is not illuminated. Let's assume the question means to imply that Tom's shadow is measured AT THE SAME TIME that the shadow of the tower is measured, and kind of NEAR the tower, so that the sun casts both shadows from the same place in the sky. If this is a valid assumption, then the tower is 12 meters tall.
Earth casts the shadow.
20/16 = h/12;Cross multiply: 16 x h = 20 x 12h = 20 x 12/16 = 240/16 = 15 in
Either the Moon casts its shadow on Earth, or the Earth casts its shadow on the Moon.
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