0
What is the height of a flagpole if a person 5 feet tall casts a 10 foot shadow at the same time that the flagpole casts a 40 foot shadow?
Wiki User
∙ 11y ago
The flag pole would be 20 feet. (You can see that the shadows are twice as long.)
At a given time of the day, the length of a shadow cast by any object will have the same relationship to its actual height as all other objects.
Here the ratio is 5/10 = x/40 and multiplying both sides by 40, 20 = x.
Wiki User
∙ 11y ago
Add your answer:
Earn +20 pts
What is the height of a flagpole that casts a 40 foot shadow?
To calculate that, you'd need to know the angle of the light source or the time of day or have some other object to compare it to.
If a 42.9 ft tall flagpole casts a 253.1 ft long shadow then how long is the shadow that a 6.2 ft tall woman casts.?
It is approx 36.6 ft.
A 10-meter high flagpole casts a shadow 6 meters long How long is the shadow of a nearby bush that is 3 meters tall?
1.8 meters. The ratio of object to shadow is 10:6. Therefore if the object is 3, the shadow is 1.8 ( 6/10x3).
A person 122 cm tall casts a 37 cm shadow at the same time a tree casts a 148 cm shadow. How tall is the tree?
488 cm
If a 30 foot flagpole casts a 12 foot shadow how tall is a mailbox casting a 18 inch shadow?
First find the angle of elevation by using the tangent ratio formula:tangent = opposite (the flagpole)/adjacent (the shadow)tangent = 30/12 = 68.19859051 degreesThen rearrange the formula to find the height of the mailbox:height of mailbox = 18*tangent 68.19859051 = 44.99999......Therefore: height of mailbox = 45 inches to the nearest inch.Or,Since we have two similar right triangles whose legs are the 30 feet flagpole and its 12 feet shadow, the length x of mailbox and its 18 inches shadow, we have:18 in/x = 12 ft/30 ft (cross multiply)(12)(x) = (30)(18 in)12x = 540 in (divide by 12 to both sides)x = 45 in
A flagpole casts a shadow of 40 ft nearby a 10-ft tree casts a shadow of 2 ft what is the height of the flagpole?
Ten is to two as 40 is to x, yielding: 200ft.
A flagpole casts a ten meter shadow at the same time as a six meter statue beside it casts a two meter shadow What is the height of the flagpole?
The statue is 6/2 = 3 times the length of its shadow. The flagpole is 3 times its shadow ie the flagpole is 3*10 = 30 metres.
If the angle of elevation of the sun is 53 degrees when a flagpole casts a shadow of 12 m then the height of the flagpole is?
The flagpole is 15.92 metres, approx.
A flagpole casts a shadow 28 feet long a person standig nearby casts a shadow eight feet long if the person is six feet how tall is the flagpole?
21 ft how is the equation to give you this result
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
A flagpole casts a shadow 102 feet long a 6ft talk man casts a shadow 17ft long How tall is the flagpole?
It works out as: 42.353 feet tall rounded to 3 decimal places
How tall is a flagpole that casts a shadow 35 feet long when a man 6 feet tall casts a shadow 8 feet long?
The flagpole is 26 feet, 3 inches tall. (210/8 feet = 26.25 feet)Since the ratio of height to shadow is 6/8, the flagpole is also 3/4 as tall as its shadow.6/8 (man) = x/35 (pole)6/8 (35) = x210/8 = xx = 26.25 feet
What is the height of a flagpole that casts a 40 foot shadow?
To calculate that, you'd need to know the angle of the light source or the time of day or have some other object to compare it to.
If a 42.9 ft tall flagpole casts a 253.1 ft long shadow then how long is the shadow that a 6.2 ft tall woman casts.?
It is approx 36.6 ft.
A meter stick cast a shadow 1.4m long at the same time a flagpole casts a shadow 7.7m long the triangle formed by the meterstick and its shadow is similar.how tall is the flagpole?
84 feet tall
How tall is a billboard that casts a 45 ft shadow at the same time that a 5.5 woman casta a 10ft shadow?
1. How high is a flagpole that casts a shadow of 45 ft at the same time a woman 5.5 ft tall casts a shadow 10 ft?
