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Noah and Emma are standing on opposite sides of a 43.3 ft tree looking up at Noah’s cat, which is perched at the very top. They are separated by a horizontal distance of 100 ft. The distance from Emma to the cat is 50 ft and her angle of elevation to see the cat is 60°. The distance from Noah to the cat is 86.6 ft and his angle of elevation to see the cat is 30°.

(a) Identify three different trigonometric ratios that could have been used to find the distance x between Emma and the base of the tree. For each trigonometric ratio, determine the distance. Round to the nearest whole number.

(b) Use the Pythagorean theorem to find the distance x between Emma and the base of the tree. Round to the nearest whole number.

PLEASE HELP AND SHOW WORK PLS QUICK Noah And Emma Are Standing On Opposite Sides Of A 433 Ft Tree Looking Up At Noahs Cat Which Is Perched At The Very Top They class=

Answer :

Step-by-step explanation:

This is an altitude hypotenuse problem.

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Answer:

a) (100-x)/86.6 or x/50

b) 10,000 (86.6^2 + 50^2)

Step-by-step explanation:

To find x you have three options, according to a). So you can use the small triangle, middle or larger triangle

So if you use the small triangle you use the angle of 60 degrees

You have your hypotenuse and you need to find your adjacent

So use cos(60)=x/50

Then use your middle triangle, where you can use 30 and do cos(30) = (100-x)/86.6

for b, use (100-x)^2 = 86.6^2 + 50^2

50^2 = x^2 + 43.3^2

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