Question

1. On a vertical wall a certain painting, whose base is 6 ft. from the floor, is hanged. From a point on the floor, the angles of elevation of the top and bottom of the flagpole are 45° and 30 ° . Find the vertical dimension of the painting.

2. The angle of elevation from the top of the cliff to the top of the second cliff 290 ft. away is 68° , while the angle of depression from the top of the the first cliff to the bottom of the second cliff is 63° . Find the height of the second cliff.

Answer 1

could someone give me the whole picture about that problem and probably I can solve it.huhuhu

Answer 2

the answer of that problem is 4.4 ft but i cannot get the right solution.huhuhu.

Answer 3

it's our homework and our prof want us to answer that.

Answer 4

angle of elevation problem

lets find the point on floor from this

tan x= height/ distance to point on floor

tan (30 degrees) = 6 feet/ pof - rearrange
pof = 6/tan 30
pof = 10.4

now we know the point on floor
tan(45) = height/ 10.4
(1)(10.4) = height on wall

lets subtract
10.4- 6 = 4.4

angle of depression problems are the same way

Answer 5

omg. thank you very much.

Answer 6

(290) /(tan 68)= height on top portion

angle of depression:
tan= ht of cliff/distance

tan(63)=h/290
tan63*(290)=height of bottom portion

ht top+ht bottom = total ht of cliff

Answer 7

did you get this i see you asked another here: http://openstudy.com/users/lynndale#/updates/5129a526e4b098bb5fba7675

Answer 8

Yap i was able to answer the cliff problem 1286.94 ft. By the way, thanks for the solution. :D