Answer:
44.94
Step-by-step explanation:
Use trigonometric ratios to find the unknown side.
Since you are given the adjacent side and the opposite side is in question, use the tangent ratio.
tan(x) = opposite/adjacent
Replace the variables with given values.
tan(59) = x/27
Isolate the variable.
27tan(59) = x
Use a calculator to evaluate the answer.
x = 27tan(59) ≈ 44.94
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The angle of depression is 29.0521°. So it is a safe landing.
Step-by-step explanation:
Step 1:
The plane is flying at a height of 25,000 feet and 45,000 feet away from the landing strip. Assume it lands with an angle of depression of x°.
So a right-angled triangle can be formed using these measurements. The triangle's opposite side measures 25,000 feet while the adjacent side measures 45,000 feet. The angle of the triangle is x°.
To determine the value of x, we calculate the tan of the given triangle.
Step 2:
The length of the opposite side = 25,000 feet.
The length of the adjacent side = 45,000 feet.
So x = 29.0521°. Since x < 30°, it is a safe landing.
Answer:
$6
Step-by-step explanation:
19-25
Use order of operations (PEMDAS)
<span>83-<span>(<span>59-<span>(<span>22-18</span>)</span></span>)
</span></span><span><span>83-<span>(<span>59-4</span>)
</span></span></span><span><span>83-55=</span></span>28
Final answer: 28