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. point k is x meters and point l is y meters from the base of the tree.
in terms of x and y, find the height of the tree. include your work.
if s = 38° and y = 3 meters, calculate the height of the tree, rounded to two decimal places.

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Step-by-step explanation:

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,

⇒                     (1)

Also,

⇒                      (2)

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

Since, s and t are complementary, therefore

⇒

⇒

Therefore, the height of the tree in terms of x and y is:

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

⇒

⇒

answ9x x 3=

step-by-step explanation:

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