A tower is 120 meters high. From a point on the ground, the angle of elevation t
Practice Questions
Q1
A tower is 120 meters high. From a point on the ground, the angle of elevation to the top of the tower is 45 degrees. How far is the point from the base of the tower? (2020)
60 m
120 m
90 m
30 m
Questions & Step-by-Step Solutions
A tower is 120 meters high. From a point on the ground, the angle of elevation to the top of the tower is 45 degrees. How far is the point from the base of the tower? (2020)
Step 1: Understand that the tower is 120 meters high.
Step 2: Know that the angle of elevation to the top of the tower is 45 degrees.
Step 3: Recall that the tangent of an angle in a right triangle is the opposite side (height of the tower) divided by the adjacent side (distance from the base).
Step 4: Write the formula: Distance = Height / tan(angle).
Step 5: Substitute the values into the formula: Distance = 120 meters / tan(45 degrees).
