Question

**Will give brainiest

Answer 1

Answer:

$\boxed {\boxed {\sf 260 \ feet}}$

Step-by-step explanation:

We are asked to find the driver's altitude increase. The increase in altitude is also the height of the triangle, which is labeled a.

Since this is a right triangle (signified by the small square representing a 90 degree angle), we can use trigonometry. The three trigonometric ratios are:

• sinθ=opposite/hypotenuse
• cosθ= adjacent/hypotenuse
• tanθ=opposite/adjacent

The angle (θ) given is 3 degrees. Side a is opposite this angle and the side measuring 4,960 feet is the hypotenuse because it is opposite the right angle. Therefore, we use sine.

$sin \theta= \frac {opposite}{hypotenuse}$

$sin 3= \frac {a}{4960}$

We are solving for a, so we must isolate the variable. It is being divided by 4960 and the inverse of division is multiplication. Multiply both sides by 4960.

$4960*sin 3= \frac {a}{4960}*4960$

$4960*0.05233595624= a$

$259.586343=a$

Round to the nearest whole number. The 5 in the tenth place tells us to round the 9 to a 0 in the ones place, then the 5 to a 6 in the tens place.

$260 \approx a$

The driver's increase in altitude is approximately 260 feet.

Answer 2

Answer:

707

bc

tan(3)=a/4960