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Elina [12.6K]
3 years ago
13

Given the height of rod,length of shadow of tree and length of shadow of the rod, estimate the height of the tree? Given:height

of rod=150cm,Length of shadow of the rod=120cm and length of shadow of the tree =800cm​
Physics
1 answer:
diamong [38]3 years ago
5 0

Answer:

1000 cm.

Explanation:

To obtain the estimated tree height :

(Height of rod / length of rod shadow) = (height of tree / length of tree shadow)

Substituting values into the formula :

(150cm / 120 cm) = (height of tree / 800 cm)

Using cross multiplication :

Height of tree * 120 = 150 * 800

Height of tree = (150 * 800) / 120

Height of tree = 120,000 / 120

Height of tree = 1000

Hence, estimate height of tree = 1000 cm

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Distance in scientific notation
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Answer:

(See explanation for further information)

Explanation:

a) The distances of each planet with respect to the Sun is:

Mercury - 57.909 \times 10^{6}\,mi

Venus - 67.240\times 10^{6}\,mi

Earth - 92.960\times 10^{6}\,mi

Mars - 141.600\times 10^{6}\,mi

Jupiter - 483.800\times 10^{6}\,mi

Saturn - 888.200\times 10^{6}\,mi

Uranus - 1,787\times 10^{6}\,mi

Neptune - 2,795\times 10^{6}\,mi

b) The solutions are presented below:

A. The distance between Venus and Jupiter is:

\Delta s = 483.800\times 10^{6}\,mi-67.240\times 10^{6}\,mi

\Delta s = 416.560\times 10^{6}\,mi

B. The combined distance from the Sun is:

\Delta s = 57.909\times 10^{6}\,mi + 67.240\times 10^{6}\,mi +92.960\times 10^{6}\,mi

\Delta s = 218.109\times 10^{6}\,mi

Which is less than the distance from the Sun to Neptune (2,795\times 10^{6}\,mi).

C. The new distance of Earth is 929.60 \times 10^{6}\,mi (929,600,000\,mi). Saturn would be the closest planet to Earth, whose distance:

Scientific notation:

\Delta s = 929.600\times 10^{6}\,mi-888.200\,\times 10^{6}\,mi

\Delta s = 41.4\times 10^{6}\,mi

Standard notation:

\Delta s = 929,600,000\,mi - 888,200,000\,mi

\Delta s = 41,400.000\,mi

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