Question

PLEASE HELP I'VE BEEN STUCK FOR TWO DAYS

Answer 1

Answer:

It is given that The top of a tree makes angles s and t with Points K and L on the ground, respectively, such that the angles are complementary which means that s+t=90°.

Now, from the figure,

\frac{AB}{BC}=tans

⇒\frac{h}{x}=tans                     (1)

Also, \frac{AB}{BD}=tant

⇒\frac{h}{y}=tant                      (2)

Now, multiply equation (1) and (2), we get

\frac{h}{x}{\times}\frac{h}{y}=tans{\times}tant

Since, s and t are complementary, therefore

\frac{h}{x}{\times}\frac{h}{y}=1

⇒h^2=xy

⇒h=\sqrt{xy}

Therefore, the height of the tree in terms of x and y is: h=\sqrt{xy}

Now, s=38°⇒s+t=90°⇒t=90-38=52°

Thus, t=52°

Now, substitute the value of y=3 and t=52° in equation (2), we get

\frac{h}{3}=tan52^{\circ}

⇒h=3(1.279)

⇒h=3.84 meters

Answer 2

I don't know the answer but I can help you get there. Garbage, i know. Y, from L-M, is 3. Triangle GLM is a Right Triangle, meaning that's 90 Degrees. X is the total of Line KLM, which is 6 since you have the length of LM. This is outside my field of knowledge but i hope this helps get you there. Comment below if you've got the answer.