3 years ago

In a right triangle, the hypotenuse has endpoints P(-3, 2) and Q(1, -3).

Mathematics

1 answer:

-Dominant- [34]3 years ago

6 0

Answer:

the remaining points either be (-3,-3) or (1,2)

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An observer on top of a 50-foot tall lighthouse sees a boat at a 7° angle of depression. To the nearest foot, how far is the boa

Yuri [45]

Answer:

407.22 foot is the boat from the base of the lighthouse

Step-by-step explanation:

Given the statement: An observer on top of a 50-foot tall lighthouse sees a boat at a 7° angle of depression.

Let x foot be the distance of the object(boat) from the base of the lighthouse

Angle of depression = $7^{\circ}$

$\angle CAB = \angle DCA = 7^{\circ}$ [Alternate angle]

In triangle CAB:

To find AB = x foot.

Using tangent ratio:

$\tan (\theta) = \frac{Opposite side}{Adjacent Base}$

$\tan (\angle CAB) = \frac{BC}{AB}$

Here, BC = 50 foot and $\angle CAB =7^{\circ}$

then;

$\tan (7^{\circ}) = \frac{50}{x}$

$x = \frac{50}{\tan 7^{\circ}}$

$x = \frac{50}{0.1227845609}$

Simplify:

AB = x = 407.217321 foot

Therefore, the boat from the base of the light house is, 407.22'

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Step-by-step explanation:

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Step-by-step explanation: Hope this help :D

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In a right triangle, the hypotenuse has endpoints P(-3, 2) and Q(1, -3). ​

In a right triangle, the hypotenuse has endpoints P(-3, 2) and Q(1, -3).