Math, asked by faithcooper41, 11 months ago

The angle of elevation from a point on the ground to the top of a tree is 35.4 degrees. The angle of elevation from a point 27.5 ft farther back to the top of the tree is 24.8 degrees. Find the height of the tree to 2 decimal places.

Answers

Answered by Anonymous
5

Answer:

hey mate...

Step-by-step explanation:

The angle of elevation from a point on the ground to the top of a tree is 35.3 degrees.

The angle of elevation from a point 20 ft farther back to the top of the tree is 23.3 degrees.

Find the height of the tree to 2 decimal places.

:

The tree top, bottom and points on the ground form right triangles

let t = the height of the tree

let d = distance from the point on the ground when the angle is 35.3 degrees

then

(d+20) = distance from the further point on the ground when the angle is 23.3 degrees

:

Use the tangent of the angles h = side opposite

Two position equations

tan(23.3) = h%2F%28d%2B20%29

h = tan(23.3)*(d+20)

h = .43067d + 8.613

and

tan(35.3) = h%2Fd

h = tan(35.3) * d

h = .708d

h = h solve for d

.708d = .43067d + 8.613

.708d -.43067d = 8.613

.277d = 8.613

d = 8.613%2F.277

d = 31.10 ft

Find h

h = .708(31.1)

h = 22.02 ft is the height of the tree...hope uh like it ...☺️☺️❤️

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