In traveling across flat land, you notice a mountain directly in front of you. its angle of elevation (to the peak) is 3.5°. after you drive x = "17" miles closer to the mountain, the angle of elevation is 9°. approximate the height of the mountain. (round your answer to one decimal place.)

Approximately 1.7 miles. high.

Step-by-step explanation:

Let h be the height of the mountain and x  be the number of miles from the mountain when you take the first reading.

We have 2 right angled triangles   One with adjacent side x and height h and another with adjacent side x-17  and height h so we have the system:

tan 3.5 =  h / x

tan 9 = h / (x - 17)

h = x tan 3.5 and

h = (x - 17) tan 9 so

x tan 3.5 = (x - 17) tan 9

x tan 3.5 = x tan 9 - 17 tan 9

x =  - 17 tan 9 / ( tan 3.5 - tan 9)

= 27.69 miles

So h = x tan 3.5

= 27.69 * tan 3.5

= 1.7 miles approximate;y.

answer: what statements

step-by-step explanation if you write the statements down then i could you.

answer 1 : option "c"

answer 2 : option "d"

answer 3 : option "b"

answer 4 : option "d"

answer 5 : option "b"

answer 6 : option "a"

answer 7 : option "c"

answer 8 : option "d"

answer 9 : option "c"

answer 10 : option "d"

answer 11 : option "c"

answer 12 option "b"

answer 13 option "c"

answer 14 option "c"

answer 15 option "d"

answer 16 option "a"

answer 17 option "b"

answer 18 option "c"

answer 19 option "a"

answer 20 option "a"

answer 21 option "c"

d