mscharris66

11.06.2021 • 

Mathematics

A boat heading out to sea starts out at Point AA, at a horizontal distance of 804 feet from a lighthouse/the shore. From that point, the boat’s crew measures the angle of elevation to the lighthouse’s beacon-light from that point to be 12^{\circ} ∘ . At some later time, the crew measures the angle of elevation from point BB to be 2^{\circ} ∘ . Find the distance from point AA to point BB. Round your answer to the nearest foot if necessary.

Ответ:

estherdinhllama

11.07.2021

Mathematics

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672 feets

Step-by-step explanation:

Using the solution diagram attached, the vertical height, h of the lighthouse ;

Using trigonometry :

Tanθ = opposite / Adjacent

Tan 2 = h / 804

h = tan 2 * 804

h = 28.076 feets

Using h, we can obtain the distance CB :

Tan θ = opposite / Adjacent

Tan 2 = 28.076 / CB

CB = 28.076 / Tan 12°

CB = 132.08860 feets

Distance between A and B

804 - 132.08860

= 671.9 feets

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Ответ:

arod20061

25.09.2021

Mathematics

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You mean "Simplify 16²÷4³?"
16²=16*16,  16= 4*4
4³=4*4*4
so:
Simplify: 16²  = 16*16 =  4*4*4*4 = 4 = 4
               4³  =  4*4*4 =    4*4*4     1
OR
256 ÷ 64 = 4

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