On Discovering My Self

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ON DISCOVERING MYSELF J B SERRANO AND M G LAPID

UNIVERSITY OF CALOOCAN CITY

CAMARIN CAMPUS

TULIP ST. CAMARIN CALOOCAN CITY

Title.

Application of solutions of a right triangle in partial fullfilment the requirements in plane trigonometry.

Submitted by:

BSIS 1-A   Grp # 4

1. Villanueva, Ruth D.

2. Lupiba, Gretchen

3. De Asis, Ramilyn

4. Balais, Mark Gil

5. Tenorio, Emil

Submitted to:

Mr. Varilla

Date of Submission:

January 29, 2011

7. The angle elevation from a point 25 feet from the base of a tree on level ground to the top of the tree is 30° find the HEIGHT of the tree?

Tan Ɵ a/b

Let a= be the height of the tree, so

That tan Ɵ =a/b therefore we have

Tan 30° a/25 ft

a=25 ft (tan 30°)

a=25 ft (0.5774)

a=14.43 ft

The height of the tree is approximately 14.43 ft.

8. A tree casts a shadow that is 20 feet long. The angle of elevation from the end of the shadow to the top of the tree is 66° determine the HEIGHT of the tree.

Tan Ɵ a/b

Let a= be the height of the tree .So

That tan Ɵ =a/b therefore we have

tan 66° a/20 ft

a=20 ft (tan 66°)

a=20 ft (2.2460)

a=44.92 ft

The height of the tree is approximately 44.92 ft.

14.   A man standing 230 ft. form the foot of a church spire finds that the angle of elevation of the top is 63.75°. if his eye is 5 ft 10 inches above the ground what is the height of the spire?

Tan Ɵ a/b

Let a= be the height of the spire

5ft.10 inches= 5.83ft.

Tan Ɵ =a/b therefore we have

Tan 63.75° a/230 ft

a=5.83 ft + 230ft. (tan 63.75°)

a=5.83 ft + 230 ft. (2.0278)

a=5.83 ft + 466.39 ft.

a=472.23ft.

the height of the spire is approximately 472.23 ft.

2. Ron and Francine are building a ramp for performing skateboard stunts. The ramp is 7 feet long and 3 ft high. What is the ANGLE OF ELEVATION that the ramp makes the ground?

Sin Ɵ= a/c

Let Ɵ = be the angle of the elevation. so

Sin Ɵ =a/c therefore, we have

Sin Ɵ =3 ft./ 7 ft...