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3 years ago

SinA=(7/25), determine CosA and TanA exactly

Mathematics

1 answer:

bixtya [17]3 years ago

5 0

Answer:

Cos A = 24/25 & Tan A = 7/24

Step-by-step explanation:

See the attached figure.

Construct a right triangle and sign one angle as A

So, Sin A = opposite/hypotenuse = 7/25

∴hypotenuse = 25 and opposite = 7

∴ adjacent = √(25² - 7² ) = √576 = 24

∴ Cos A = adjacent/hypotenuse = 24/25

And

Tan A = opposite/adjacent = 7/24

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DochEvi [55]

Answer:

The height of tree house is 70.71 feet

Step-by-step explanation:

We are given that A 100-foot rope from the top of a tree house to the ground forms a 45∘ angle of elevation from the ground

Refer the attached figure

Length of rope AC = Hypotenuse =100 feet

The top of a tree house to the ground forms a 45∘ angle of elevation from the ground = $\angle ACB = 45^{\circ}$

We are supposed to find the height of tree house i.e.AB = Perpendicular

So, Using trigonometric ratio

$Sin \theta = \frac{perpendicular}{Hypotenuse}\\Sin 45= \frac{AB}{AC}\\\frac{1}{\sqrt{2}}=\frac{AB}{100}\\100 \times \frac{1}{\sqrt{2}}=AB\\70.71=AB$

Hence The height of tree house is 70.71 feet

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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