1.Elevation and Depression Worksheet A man 1.5m tall standing on top of a vertical building 42m high sees a truck some distance away where the angle of depression is 53.5°. How far away is the truck from the base of the building?

2.A woman 1.7m tall observes the angle of elevation of a tree to be 24°. If she is standing 15m from the tree, find the height of the tree.

3.A girl 1.2m tall is 25m away from a tower 18m high. What is the angle of elevation of the top of the tower from her eyes?

4.From a coastal lookout point P, 100m above sea-level, a sailor sights two boats B and C in the same direction. The angles of depression of the two boats are 12° and 26° respectively. Find the distance between the two boats

$30.32

step-by-step explanation:

65.00*.12=2.80

65.00-2.80=57.20

57.20*1.06=60.632

60.632/2=30.316

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.

6 equilateral triangles

answer: 5 17/33 % (to the tenth)

step-by-step explanation:

he guessed: 34.5 pounds

actual weight is 32.7

there for he is off:

34.5 -32.7 = 1.8

32.7 is the 100%

1.8 represents %? of 32.7

therefore:

32.7   - 100%

1.8     -     x%

x= 1.8*100%/32.7% = 18*100%/327%

x=1800%/327%   = (5 165/327)%

to the tenth:

5 17/33 %