Question

An airplane sits on the runway of an airport under the cover of a fog bank as shown. Determine the height of the fog bank above the runway in meters if the distance b = 200 km and the angle a = 27.4°. Round to 2 decimal places.

a. 92.04 km
b. 103.67 km
c. 181.70 km
d. none of the above

Answer 1

tan(angle) = opp/adj
tan(a) = h/b
tan(27.4) = h/200

solve for h

Answer 2

.137

Answer 3

how did you get that?

Answer 4

i just 27.4/200 i didnt know what else to do

Answer 5

using a calculator, what is `tan(27.4)` equal to?

Answer 6

-1.19

Answer 7

make sure you're in degree mode (not radian mode)

Answer 8

.518

Answer 9

yes

Answer 10

so `tan(27.4) = h/200` turns into `0.518 = h/200` approx

Answer 11

whats next

Answer 12

multiply both sides by 200

Answer 13

103

Answer 14

.67

Answer 15

I'm getting 103.670153162113 so it looks good