Questions and Answers
What is the formula for the height of a pole?
In triangle FAB, what is the relation between FB and d?
What is the formula for the height of a building?
In triangle BCD, what is the relation between BD and b?
Signup and view all the answers
In which triangle is the sine rule used to find the height of a building?
Signup and view all the answers
What is the formula to find the area of a triangle ABC?
Signup and view all the answers
When to use the Sine Rule?
Signup and view all the answers
What is the formula to find the side length 'a' using the Cosine Rule?
Signup and view all the answers
What is the first step in solving problems in three dimensions?
Signup and view all the answers
When to use the Area Rule?
Signup and view all the answers
What is the formula to find the side length 'b' using the Cosine Rule?
Signup and view all the answers
In triangle FAB, what is the value of FB in terms of d, alpha and beta?
Signup and view all the answers
What is the value of h in terms of b, alpha, beta and theta for the height of a building?
Signup and view all the answers
In which triangle is the tangent ratio used to find the height of a pole?
Signup and view all the answers
What is the common angle used in both triangles FAB and TFB for the height of a pole?
Signup and view all the answers
What is the given angle in triangle TFB for the height of a pole?
Signup and view all the answers
What is the formula to find the area of a triangle when no perpendicular height is given?
Signup and view all the answers
In which situation would you use the cosine rule?
Signup and view all the answers
What is the general approach to solving problems in three dimensions?
Signup and view all the answers
What is the formula to find the side length 'c' using the cosine rule?
Signup and view all the answers
When would you use the sine rule?
Signup and view all the answers
What is the formula to find the area of a triangle when the base and height are given?
Signup and view all the answers
In a three-dimensional problem, if FBA = and FBT = , what is the correct expression for FB in terms of d, , and ?
Signup and view all the answers
In a three-dimensional problem, if BC = b, DBA = , DBC = , and DCB = , what is the correct expression for BD in terms of b, , and ?
Signup and view all the answers
In a three-dimensional problem, if FAB = and FBT = , what is the correct expression for h in terms of d, , and ?
Signup and view all the answers
In a three-dimensional problem, if BC = b, DBA = , DBC = , and DCB = , what is the correct expression for h in terms of b, , , and ?
Signup and view all the answers
In a three-dimensional problem, which trigonometric ratio is used to relate the height h to the distance FB in triangle TFB?
Signup and view all the answers
In a triangle ABC, if a = 5, b = 7, and angle A is 30°, what is the length of side c?
Signup and view all the answers
In a triangle PQR, if p = 9, q = 12, and angle Q is 45°, what is the area of the triangle?
Signup and view all the answers
In a triangle DEF, if d = 10, e = 8, and angle E is 60°, what is the length of side f?
Signup and view all the answers
Which of the following is NOT a step in solving problems in three dimensions?
Signup and view all the answers
In a triangle GHI, if g = 11, i = 13, and angle G is 75°, what is the length of side h?
Signup and view all the answers
Which of the following rules is used to find the area of a triangle when no perpendicular height is given?
Signup and view all the answers