# trig Elev. & Depress part ii

You are 55ft from a tree. The angle of elevation from your eyes, which are 4.5 ft off the ground,to the top of the tree is 61 degrees. To the nearest foot, how tall is the tree?

1. 👍
2. 👎
3. 👁
1. as usual, draw a diagram. If the tree has height h,

(h-4.5)/55 = tan61°

1. 👍
2. 👎
2. Approximately 104 feet.

1. 👍
2. 👎

## Similar Questions

1. ### trigonometry ans.

At a point on the ground 50 feet from the foot of a tree, the angle of elevation to the top of the tree is 53°. Find the height of the tree to the nearest foot. I got 50xtan53 = 66.35 nearest foot ? would I use tan or sin since

2. ### trig

A tree casts a shadow of 27 meters when the angle of elevation of the sun is 26 degrees. Find the height of the tree to the nearest meter. a. 24 m b. 15 m c. 320 m d. 13 m

3. ### Pre-Calculus

From a point on the ground 25 ft. from the foot of the tree, the angle of elevation of the top of the tree is 32 degrees. How do you find the height of the tree to the nearest foot?

4. ### geometry

At a point on the ground 50 feet from the front of a tree, the angle of elevation to the top of the tree is 48 degrees. Find the height of the tree.

1. ### math

A tree casts a shadow that is 20 feet long. The angle of elevation from the end of the shadow to the top of tree is 66 degrees. Determine the height of the tree, to the nearest foot.

2. ### math

a boy is 20m away from a tree, and he observes that the angle of elevation of a bird on the tree is 58°. He is 1.7m tall. How high is the tree?

3. ### Geometry

When the angle of elevation to the sun is 52 degrees, a tree casts a shadow that is 9 meters long. what is the height of the tree? round to the nearest tenth of a meter

4. ### trig

Because of prevailing winds, a tree grew so that it was leaning 4 degrees from the vertical. At a point, 35 meters from the tree, the angle of elevation to the top of the tree is 23 degrees. Find the height h of the tree

1. ### math

A tree casts a shadow that is 20 feet long. The angle of elevation from the end of the shadow to the top of tree is 66 degrees. Determine the height of the tree, to the nearest foot.

2. ### trig

A tree on a hillside casts a shadow c ft down the hill. If the angle of inclination of the hillside is b to the horizontal and the angle of elevation of the sun is a, find the height of the tree. Assume a = 48°, b = 18° c = 235

3. ### mathematics

From a point p on level ground, the angle of elevation of the top of a tree is 60 degrees. if the tree is 39 m high, how far is its base from p

4. ### Math

Phoebe and Holden are on opposite sides of a tall tree, 125 m apart. the angles of elevation from each top of the tree are 47 degrees and 36 degrees. what is the height of the tree? My Answer: The top angle will be = 180 - (47 +