Questionthe information given in the picture below.
The height of the tree is approxi
Zoom
B 34.6 m
D 3.64 m
ANSWER
Studdy Solution
STEP 1
1. The problem involves a right triangle with a known angle and base.
2. The base of the triangle (TP) is 60 meters.
3. Angle P is 30 degrees.
4. We are required to find the height of the tree (opposite side to angle P).
STEP 2
1. Identify the trigonometric relationship.
2. Use the trigonometric function to solve for the height.
STEP 3
Identify the trigonometric relationship. Since we have a right triangle and we know the angle and the adjacent side (base), we use the tangent function, which relates the opposite side (height) to the adjacent side (base).
STEP 4
Substitute the known values into the tangent function. Here, and the adjacent side is 60 meters.
STEP 5
Calculate . The value of is or approximately 0.577.
STEP 6
Solve for the height by multiplying both sides by 60.
The height of the tree is approximately:
Was this helpful?