A boat is looking at a plane 8000 ft in the air at a 40 degree angle from x feet away solve for x
6,713 ft
9,534 ft
10,443 ft
12,445
if x is line-of-sight,
8000/x = sin 40°
if x is along the ground,
8000/x = tan 40°
Got it thanks.
I need this actual answer if anyone knows???
To solve for x, we can use the tangent function, as we have the angle and the opposite side length (8000 ft). The tangent of an angle is defined as the ratio of the opposite side to the adjacent side.
In this case, we can use the formula: tan(angle) = opposite / adjacent.
Let's plug in the values:
tan(40 degrees) = 8000 ft / x
To solve for x, we can rearrange the equation:
x = 8000 ft / tan(40 degrees)
Using a scientific calculator or an online calculator, we can find the value of tan(40 degrees), which is approximately 0.8391.
Now, let's substitute this value back into the equation:
x = 8000 ft / 0.8391
Evaluating this expression will give us the value of x:
x ≈ 9534 ft
Therefore, the answer is approximately 9534 ft.