The line of sight is the hypotenuse of a right triangle with short leg 400 m, 90 degree angle where the short leg meets the ground, an 83 degree angle at the top, and a 7 degree angle across from the right angle on the ground. Because this 7 degree angle is an alternate interior angle with the angle of depression, they are the same degree measure. Looking for the hypotenuse, we use the sin ratio: sin (7) = 400/x.
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Possible outcome:
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4. vertical angles are congruent
1km=1000m
4400m=(4400/1000)km
4400m=4.4km
therefore, 4400meters is bigger
Answer:
x = 12
Step-by-step explanation:
We can use the Pythagorean theorem to solve
a^2 +b^2 =c^2 where a and b are the legs and c is the hypotenuse
9^2 +x^2 = 15^2
81 +x^2 = 225
Subtract 81 from each side
81-81 +x^2 = 225-81
x^2 = 144
Take the square root of each side
sqrt(x^2) = sqrt(144)
x = 12