Because of the prevailing winds, a tree grew so that it was leaning 4° from the

Question

Because of the prevailing winds, a tree grew so that it was leaning 4° from the vertical. At a point 35 meters from the tree, the angle of elevation to the top of the tree is 23° ( see figure below ). Find the height h of the tree 11. A triangular city lot has sides of 224 feet, 182 feet, and 165 feet. Find the angle between the longer two sides of the lot. 12. Find the area of a triangle having the indicated sides and angle 13. 8 127, a 32 cm, and c 24 cm. 14. a 32 inches, b 24 inches, and c 36 inches

Explanation / Answer

11. Remaining angle = 180-94-23= 63 degree

Using sine law

sin 63 / 35 = sin 23/h

h= 35 sin(23) / sin (63) = 15.35meters .

12.

Let the angle between the two longer side be x degree.

Using cosine law

1652 = 2242+1822-2(224)(182)cos x

x = 46.55 degree

13. Area of triangle = (1/2) a c sin B = (1/2) *32*24 sin 127 = 306.68 degree

14. Using cosine law

322= 242+362-2*24*36 cos x

x = 60.61 degree

Area= (1/2) b c sinA =(1/2) *24*36 sin 60.61 = 376.40

Related Questions

Navigate

• Browse (All)
• Browse B
• Subjects

---