Physics, 06.04.2020 19:57 keirarae2005

An observer at the top of a 462-ft cliff measures the angle of depression from the top of the cliff to a point on the ground to be 5Â°. What is the distance from the base of the cliff to the point on the ground?

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Answer from: kmc3490

The distance from the base of the cliff to the point on the ground is 5,280.7 ft.

The given parameters;

height of the cliff, h = 462 ftangle of depression, = 5⁰

The distance from the base of the cliff to the point on the ground is calculated as follows;

distance from the base of the cliff to the point on the ground forms the height of the triangles of the right triangle,height of the cliff is the baseangle of the base with the hypotenuse side = 90⁰ - 5⁰ = 85⁰

$tan (85) = \frac{h}{462} \\\\h = 462 \times tan(85)\\\\h = 5,280.7 \ ft$

Thus, the distance from the base of the cliff to the point on the ground is 5,280.7 ft.

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Answer from: david2154

complete question:

An observer at the top of a 462-ft cliff measures the angle of depression from the top of the cliff to a point on the ground to be 5°. What is the distance from the base of the cliff to the point on the ground? Round to the nearest foot

a ≈ 5281 ft

Explanation:

The observer at the top of a 462 ft cliff measures the angle of depression from the top of the cliff to a point on the ground to be 5°.

The angle of depression form the top of the cliff = 5°

The 5° is outside the triangle formed . To find the angle in the triangle we have to subtract 5° from 90°. 90° - 5° = 85° Note sum of an angle on a right angle is 90°.

using SOHCAHTOA principle we can solve for the distance from the base of the cliff to the point on the ground(a)

tan 85° = opposite / adjacent

tan 85° = a / 462

cross multiply

462 × tan 85° = a

a = 11.4300523 × 462

a = 5280.66 ft

a ≈ 5281 ft

Answer from: Quest

another example of kinetic energy would be,

kinetic energy > moving energy

answer > letter choice (c), a hammer falling off a table.

hope that ! : )

Answer from: Quest

Scientific classification

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