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Chapter 13: Q13. (page 706)

When landing, a jet will average a 3掳angle of descent. What is the altitude x, to the nearest foot of a jet on final descent as it passes over an airport beacon 6 miles from the start of the runway?

Short Answer

Expert verified

The value of altitudex=1660.03feet.

Step by step solution

01

Step 1. Write down the given information.

It is given that on landing the angle of descent of the jet is 3掳. And the runway is 6 miles long.

02

Step 2. Calculation.

Since, angle of ascent is equal to angle of descent. Therefore, from the given figure 鈭�C=3掳as shown.

Now in right triangle ABC by trigonometric ratios,

localid="1648453808601" tanC=ABBCtan3掳=x6x=6tan3掳x=0.3144鈥刴颈濒别蝉x=1660.03鈥刦别别迟....Convertingmilestofeet

Since, the value of x=1660.03feet. Hence, the altitude x=1660.03feet.

03

Step 3. Conclusion.

The value of altitude x=1660.03feet.

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