More trig questions :]?

Question

Could you please help me with the working out? Thanks in advance guys!!!

From a point 10m from a vertical wall, the angles of elevation
of the bottom and the top of a statue set in the wall are 40o and
52o. Calculate the length of the statue.

A rectangular paving stone 3m by 1m rests against a vertical wall as shown. What is the height of the highest point of the stone above the ground?

Tahh x

It rests on an angle of 153 at the bottom. :] Thanks x

Answer 1

let the top of the statue = pt.A
bottom of the statue = pt. B
bottom of the wall = pt. C
10m from the wall = pt. D

therefore length of the statue = AC - BC
based on the information about the elevation angles:

tan40 = BC/CD
tan52 = AC/CD

tan52 - tan40 = (AC - BC)/ CD
therefore length of the statue = AC - BC = (tan52 - tan40)* CD
= 10 (tan52 - tan40)

Part 2: Not sure what the angle at which the stone rests on the wall.

Answer 2

Using the angles 40° and 52° and the given length adjacent to the angle, 10 m, use the tangent function to find the height of the bottom and top of the statue. Subtract the two values to find the length of the statue. So if the bottom of the statue is at a height of h_b and the top is at a height of h_t, use of the tangent function gives us tan(40°) = (h_b) / 10, and you can solve algebraically for h_b. The same goes for h_t, using the angle of 52° instead.

We cannot solve the second problem without seeing how the paving stone rests against the wall ("as shown").

Answer 3

For the 1st problem:
you have 2 right triangles. one w/ 40deg angle adjacent to a 10m base and one w/ a 52deg angle adjacent to a 10m base. We want the height of the other base for each triangle.
tan40 = x/10 & tan52 = y/10
x gives you how far off the ground the statue is and y gives you how high it is. Simply do y-x to get the statue's length.

Answer 4

Tan 40= Y1/10
Tan 52=Y2/10
H= Y2- Y1, Y1 is footlevel, Y2 is top level, h is hight of the statue.
H= 10(tan52-tan40)=4.4m

I cant see the figure in the last question.

Answer 5

I can't believe rather than doing there own bloody homework, Yahoo Answers is now full of kids getting people to do it for them! I'm not an old fogey on an "In my day rant", i'm only 21 myself, but for gods sake people, stop answering the questions just to look clever and please realise that by answering these questions for them, your slowly making Britain a dumber country!