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 6. Calzada, Janille
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
Sin Ɵ = 0.4286
Ɵ = 25.38°
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 6. Calzada, Janille
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
Sin Ɵ = 0.4286
Ɵ = 25.38°