Answer:
5.5 ft tall
Step-by-step explanation:
The shadows cast by the pole and by the woman form <em>similar triangles</em>.
In similar triangles, corresponding sides are in the same proportion.
Thus,
18/28.8 = x/8.8
Multiply each side of the equation by 8.8
x = 8.8 × 18/28.8 = 5.5 ft
The woman is 5.5 ft tall.
Answer:
Step-by-step explanation:
You can create a right triangle out of this information and then use right triangle trig to solve.
We are given the height of the triangle as the height of the tower which is 150m.
We are given the angle of inclination as the degree the tower makes with the ground which is 72.
From the angle of 72 degrees, which is also known as the reference angle, we have the side across from it (the height) and we are looking for the side adjacent to it (how far from the base of the tower the keys will land). Side opposite the reference angle over side adjacent to the reference angle is the tangent ratio:
and, solving for x,
Make sure your calculator is in degree mode to solve this. Divide 150 by the tan(72) and find that
x = 48.7 m