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Assuming that the lighthouse is perpendicular to the ground (it does not lean at all), the lighthouse and the ground will form a right angle (90 degrees). For right triangles, when you know the length of two sides of the triangle, you can use the pythagorean theorem to calculate the third side. Pythagorean Theorem = a2 + b2 = c2 Where a and b represent the sides of the triangle adjacent to the right angle (in this case the height of the lighthouse and the length of the shadow) and c represents the hypotenuse (in this case the distance from the top of the lighthouse to the top of the shadow). 1252 + 1402 = c2 15625 + 19600 = c2 35225 = c2 187.68 = c (Take the square root of both sides to get c by itself) The distance from the top of the lighthouse to the top of the shadow is about 187.7 feet.
What else can I help you with?
If a 4ft post casts a shadow of 7m what height is a tree that casts a shadow of 35m?
(35/7)*4 = 20 Ft.
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 is a tree that casts a 28-ft shadow at the same time a 4-ft pole casts a shadow which is 9-ft long?
The height of the tree is in direct proportion to the pole and its shadow
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.
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
A lighthouse casts a 72-yard shadow at the same time as a 32-foot tall billboard casts a 19-foot shadow?
121.3yd
How does a shadow work?
A shadow clock, or sundial, tells the time of day using the position of the Sun. The sun casts a shadow from the sundial's style onto a marked surface of hours.
Which body casts a shadow on the moon during lunar eclipse?
Earth casts the shadow.
What is a tool that shows the time of the day by position and length of the shadow the sun casts on a surface called?
Sundial is the term
If A lighthouse casts a 128 foot shadow a nearby lamppost measures 5' 3 casts an 8 foot shadow Write a proportion that can be used to determine the height of the lighthouse?
To solve this you need to put 5.3 over 8 to represent the first lamp post then you need to put x over 128, so you can find the height of the lamp post. The lamp post is 84 feet 8 inches.
If your building casts a 280 ft shadow how tall is the building?
That varies depending on the height of the sun, whether the shadow is cast on a sloping surface and so forth.
Why do you observe solar and lunar eclispes?
Either the Moon casts its shadow on Earth, or the Earth casts its shadow on the Moon.
What is the event called when the moon passes directly between the sun and the earth and casts a shadow on the earths surface?
a total eclipse
A tree is twice as high as the length of the shadow it casts The distance from the tip of tree to the tip of the shadow is 8 feet What is the length of the shadow that the tree casts?
Since the tree is twice as high as the length of the shadow, we can set up the following equation: 2x = x + 8, where x is the length of the shadow. Solving the equation gives us x = 8 feet, so the length of the shadow that the tree casts is 8 feet.
When the moon shadow hits earth or earth shadow hits the moon what occurs?
An eclipse occurs. When the moon lines up between the Earth and the sun, it casts a shadow onto the Earth's surface, causing a solar eclipse. When the Earth lines up between the moon and the sun, it casts a shadow onto the moon, causing a lunar eclipse.
Write a proportion to determine the missing measureA lighthouse casts a 72-yard shadow at the same time as a 32-foot tall billboard casts a 19-foot shadowWhat is the height of the lighthouse?
They both have the same tangent ratio so let the height of the lighthouse be x and change all units into feet: x/216 = 32/19 Multiply both sides by 216: x = 6912/19 x = 363.7894737 feet
If a 4ft post casts a shadow of 7m what height is a tree that casts a shadow of 35m?
(35/7)*4 = 20 Ft.
