V. Trigonometric Ratios 3. Applications of Trigonometric Ratios
Exams by Grade · K9 · Author: math41val
Q1 Find the lengths of and in the right triangle with and . (note, , ) Q2 Find the length of when , and in the cuboid as shown in the figure below. Q3 Find the surface area of the triangular prism when , , and as shown in the figure below. Q4 As shown in the following figure, the distance between a boat sailing on the sea and the lighthouse is , and the size of the angle when looking up the top of the lighthouse from the boat is . Find the height of the lighthouse. (note, , , and the size of the boat should be ignored.) Q5 Find the length of in when , and as shown in the figure below. Q6 Find the length of in when , and as shown in the figure below. Q7 Find the length of when , and in as shown in the figure below. Q8 Find the length of in when , and as shown in the figure below. Q9 Find the length of in when , , and as shown in the figure below. Q10 Find the length of in when , and as shown in the figure below. Q11 Find the length of in when , and as shown in the figure below. Q12 As shown in the following figure, the sizes of the angles when looking up at a satellite floating in the sky simultaneously from two observatories and located away are and , respectively. Find the distance from the observation station to the satellite. Q13 In the figure below, find the length of when the area of is with and . Q14 Find the area of when , , and the point is the center of mass of as shown in the figure below. Q15 In the figure below, let be the intersection of and the bisector of in . Find the length of when , and . Q16 In the figure below, the area of is with , . Find the length of . . Q17 In the figure below, is the diameter of the semi-circle . Find the area of shaded region when and Q18 Find the area of when , , and as shown in the figure below. Q19 Find the area of the regular hexagon inscribed in the circle whose radius is as shown in the following figure. Q20 Find the area of the parallelogram when , and as shown in the figure below. Q21 Find the length of a side of the rhombus when its area is and as shown in the figure below. Q22 In whose diagonals make the angle of shown in the figure below, find the length of the diagonal when the area of is and .