Question

A road has an incline of 10°. To the nearest foot, find the increase in altitude of a car after driving 4,000 feet along the road. A) 695 ft B) 705 ft C) 3,939 ft D) 4,062 ft

Answer 1

A. 

You can get this by creating a right triangle with a opposite side of x and the hypotenuse of 4000. Then find the altitude using Sin(10) = x/4000. Solve for x. 

Answer 2

Answer:

(A) 695ft

Step-by-step explanation:

Given: A road has an incline of 10°.

To find: The increase in altitude of a car after driving 4,000 feet along the road.

Solution: It is given that A road has an incline of 10°, thus using the trigonometry, we have

$\frac{AB}{AC}=sin10^{\circ}$

Substituting the given values, we get

$\frac{x}{4000}=sin10^{\circ}$

$\frac{x}{4000}=0.174$

$x=4000(0.174)$

$x=694.5ft$

$x$≈$695ft$

Thus, the increase in altitude of a car after driving 4,000 feet along the road is 695 feet.

Hence, option A is correct.