Question

Joe's friends are going to climb a climbing wall and have invited Joe to go with them. Joe is afraid of heights and wants to know how high the climbing wall is before he climbs it. Joe is 5.5 ft tall and at 3:00 pm his shad is 2.75 ft long. At the same time, the shadow of the rock-wall is 35 ft long. How tall is the rock wall?

Answer 1

To find the height of the climbing wall, we can set up a proportion using the lengths of the shadows. Plugging in the given values, we find that the rock wall is approximately 70 ft tall.

Step-by-step explanation:

To find the height of the climbing wall, we need to use similar triangles. We can set up a proportion to compare the lengths of the shadows:

(Joe's height) / (Joe's shadow) = (height of the climbing wall) / (shadow of the climbing wall)

Plugging in the given values, we get:

(5.5 ft) / (2.75 ft) = (height of the climbing wall) / (35 ft)

Cross multiplying, we find the height of the climbing wall:

(5.5 ft) * (35 ft) / (2.75 ft) = height of the climbing wall

Solving this, we find that the rock wall is approximately 70 ft tall.

Answer 2

Rock Wall Height = 70ft

Step-by-step explanation:

Joe's height = 5.5 ft , Joe's shadow height = 2.75 ft [At 3.30 pm]

At 3.30 pm , Joe's height : Shadow Radio = 5.5 : 2.75 = 2 : 1

So, Product real height : Shadow height = 2 : 1 [At 3.30 pm]

Rock wall shadow height = 35 ft long

As per Height : Shadow ratio = 2 : 1 . So, rock wall real height = 2 x shadow height = 2 x 35 = 70 ft long