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A tree is 24 feet tall and casts a shadow of 10 feet At the same time a tower casts a shadow of 25 feet What is the height in feet of the tower?
50 ft. tall you can use a proportion.
10/25=20/x
10x/10=500/10
x=50
Improved Answer:
Let the height be x:
x/25 = 24/10
Multiply both sides by 25:
x = 600/10
Height of tower = 60 feet
This problem can also be solved through trigonometry because the tangent ratio works out as 67.38013505 degrees.
What else can I help you with?
A tree is 18 feet tall and casts a shadow 6 feet long A nearby sign casts a 3 foot shadow What is the height of the sign?
A 1 foot shadow I think.
How high is a tree that casts a 37 ft shadow at the same time a 4foot pole casts a 12 foot shadow?
It works out as 12 feet and 4 inches in height
If a tree 17 feet tall casts a shadow 12 feet long how high is a building that casts a shadow 19 feet long?
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.
On a sunny day a 5-foot red kangaroo casts a shadow that is 7 feet long The shadow of a nearby eucalyptus tree is 35 feet long Write and solve a proportion to find the height of the tree?
the answer is 25.
The shadow of a vertical tower is 58 feet long when the angles of elevation of the sun is 36 degrees. what is the height of the tower to the nearest foot?
tan(36) = H/58 where H is the height of the tower. So H = 58*tan(36) = 42 feet.
If an electrical tower casts a foot shadow at the same time a foot street sign casts a shadow of 8 feet then what is the length of the tower?
The lengths of the objects are proportional to the lengths of their shadows, given that they are illuminated by the same light source. If the street sign is 1 foot tall and casts an 8-foot shadow, the ratio is 1:8. Therefore, if the electrical tower casts a 1-foot shadow, it can be calculated as follows: ( \text{Height of tower} = \frac{1 \text{ foot}}{8 \text{ feet}} \times 8 \text{ feet} = 8 \text{ feet} ). Thus, the height of the electrical tower is 8 feet.
What is the height of a telephone pole that casts a shadow of 15 feet if a 6 foot tall man casts a shadow of 3.5 feet?
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A tree is 18 feet tall and casts a shadow 6 feet long A nearby sign casts a 3 foot shadow What is the height of the sign?
A 1 foot shadow I think.
How tall is a tree that casts a 30 ft shadow at the same time an 18 ft pole casts a shadow that is 6 feet long?
It is 90 feet in height
What is the height in feet of a flagpole which casts a 6-foot shadow when a 6-foot man cast a 3-foot shadow?
Using trigonometry its height is 12 feet
How tall is a flagpole that casts a shadow of 35 feet long with a man 6 feet tall who cast a shadow of 8 feet long?
The height of the flagpolle is 26.25 feet
How high is a tree that casts a 37 ft shadow at the same time a 4foot pole casts a 12 foot shadow?
It works out as 12 feet and 4 inches in height
How tall is the arch if a boy is 5 feet tall and stands under the Gateway Arch in St Louis and casts a shadow that is 1 foot long and the shadow of the Arch is 126 feet long?
To find the height of the Gateway Arch, we can use the concept of similar triangles. The ratio of the boy's height to his shadow length is the same as the ratio of the Arch's height to its shadow length. Therefore, if the boy is 5 feet tall and casts a 1-foot shadow, the height of the Arch can be calculated as follows: Height of Arch = (Height of boy / Length of boy's shadow) × Length of Arch's shadow = (5 feet / 1 foot) × 126 feet = 630 feet. Thus, the Gateway Arch is 630 feet tall.
What is the height of the tree if it casts a shadow 146 feet long?
It depends on the time of day because the angle of the sun will determine the shadow length
A tree casts a shadow that is 21 feet long at the same time as a fence post casts a shadow that is 6 feet long The fence post is 4 feet tall What is the height of the tree?
Ratio of object to its shadow is the same. So if T is the height of the tree, then T/21 = 4/6 So T = 21*4/6 = 84/6 = 14 feet
What is the height of a tower if its shadow is 500 feet long and a flag pole is 40 feet tall with a shadow 36 feet long?
The ratio of the height of the object to its shadow are the same for both objects. So, if H is the height of the tower, then H/500 = 40/36 therefore H = 500*40/36 = 555.55... feet.
What is the height of a building that cast a 105' shadow when a 6' man casts a 14' shadow?
Height of building/105 = 6/14 Multiply both sides by 105: Height = 630/14 Height = 45 feet
