Applying the tangent ratio, the angle of elevation of the sun, to the nearest degree, is: 36°.
<h3>What is the Tangent Ratio?</h3>In a right triangle, tan ∅ = opposite length / adjacent length is the tangent ratio.
Given the following:
Apply the tangent ratio:
tan ∅ = 125/172
tan ∅ = 125/172
∅ = tan^(-1)(125/172)
∅ ≈ 36°
Learn more about the tangent ratio on:
#SPJ1
Answer:
The COMMON RATIO of the sequence is -2.
Step-by-step explanation:
Here, the given sequence is:
5, -10, 20 ,-40
Here, The first term ( a 1 ) of the sequence is (5)
The second term (a 2) of the sequence is (-10)
Third term of sequence (a 3) is 20
Now, calculating the common ratio (r) of sequence ,we get:
So, here r =(-2)
⇒ The COMMON RATIO of the sequence is -2.
Hence, the given sequence in in GEOMETRIC PROGRESSION.
Answer:
280 ft squared
Step-by-step explanation:
To find the area of the nonshaded portion, we can find the area of the entire floor and then subtract the shaded area.
The total area is that of a rectangle: 30 * 15 = 450 ft squared.
Now, the shaded region is made up of a rectangle and a triangle.
- The rectangle has length 8 and width 10, so its area is 10 * 8 = 80 ft squared.
- The triangle has base 12 and height 15, so using the area of a triangle formula: (where b is the base and h is the height) = (12 * 15)/2 = 180/2 = 90 ft squared.
- The total shaded region is: 80 + 90 = 170 ft squared
Subtract 110 from 450: 450 - 170 = 280 ft squared.
Thus, the answer is 280 ft squared.
Hope this helps!