Answer:
∅ = 67.71°
Step-by-step explanation:
The flag pole is 20 ft tall is casting a shadow that is 8.2 ft long .At what angle is the sun hitting the ground. The illustration forms a right angle triangle.
The right angle triangle has an hypotenuse, opposite and adjacent sides. The flag height forms the opposite side. The shadow forms the adjacent side . The angle the sun is hitting the ground can be using SOHCAHTOA principle.
using Tan
tan ∅ = opposite / adjacent
tan ∅ = 20/8.2
tan ∅ = 2.4390243902
∅ = tan⁻¹ 2.4390243902
∅ = 67.7063708403
∅ = 67.71°
Answer:
An animal must consume food, inhale oxygen, and drink water to begin cellular respiration
Step-by-step explanation:
Answer:
<h2>Diana uses 5/8 square yard of fabric for both pillows.</h2><h2>There remains 3/8 square yard of fabric.</h2>
Step-by-step explanation:
Givens
- The total amount of fabric is 1 square yard.
- One pillow requires 3/8 square yard of fabric.
- A second pillow requires 2/8 square yard of fabric.
To find the total amount of fabric Diana used, we must sum those fractions

Diana uses 5/8 square yard of fabric for both pillows.
Now, we subtract to find the remaining amount of fabric

Therefore, there remains 3/8 square yard of fabric.
Answer:
200 miles will allow to stay within the budget
Step-by-step explanation:
∵ The daily budget is 82
∵ The cost per mile is 21/100 = $0.21
∵ The number of miles is x
∴ The equation of the budget is:
∴ 82 = 40 + 0.21 x
∴ 0.21 x = 82 - 40
∴ 0.21 x = 42
∴ x = 42/0.21 =200
∴ The number of miles = 200 to stay in the daily budget