Question

100 POINTS!! ASAP - Please SHOW WORK!!

Answer 1

the increase of altitude is 435.8 m

Explanation:

see attached

inclined road at 5°

after driving 5000 along the end road.

find:

increase of altitude (h)

let Ф = 5°

road = hypothenuse

using the formula Sin Ф = h ÷ hypothenuse

Sin(5) = h

5000

h = Sin (5) x 5000

h = 435.8 m

therefore,

the increase of altitude is 435.8 m

Answer 2

h = 435.779 m

Explanation:

Step 1: Define variables

∅ = 5°

Hypotenuse (the road) = 5000 meters

We need to find height (or the vertical leg on the triangle) = h

Step 2: Use trig

sin∅ = opposite over hypotenuse

sin5° = h/5000

Step 3: Evaluate

5000sin5° = h

h = 435.779 m