EGG 131 - Technical Physics I Basic Trigonometry 1. Find x and H in the right triangle below. 10 2. Find the lengths of all sides of the right triangle below if its area is 400. 2x 3. BH is perpendicular to AC. Find x the length of BC. 11 390 H 4. ABC is a right triangle with a right angle at A. Find x the length of DC. 5. In the figure below AB and CD are perpendicular to BC and the size of angle ACB is 31. Find the length of segment BD. 6. The area of a right triangle is 50. One of its angles is 450. Find the lengths of the sides and hypotenuse of the triangle. 7. In a right triangle ABC, tan(A) = 3/4. Find sin(A) and cos(A). 8. In a right triangle ABC with angle A equal to 90, find angle B and C so that sin(B) = cos(B). 9. A rectangle has dimensions 10 cm by 5 cm. Determine the measures of the angles at the point where the diagonals intersect. 10. The lengths of side AB and side BC of a scalene triangle ABC are 12 cm and 8 cm respectively. The size of angle C is 590. Find the length of side AC 11. From the top of a 200 meters high building, the angle of depression to the bottom of a second building is 20 degrees. From the same point, the angle of elevation to the top of the second building is 10 degrees. Calculate the height of the second building