At a certain time of day, a 5-foot tall man has a 4-foot shadow. If a tree is 20 feet tall, what is the length of the tree’s sha
dow?
1 answer:
You might be interested in
The statements and reasons why the given statements are true are presented in the following two column proofs;
Question 1
Given: 9·(x + 6) - 41 = 75
Statement Reason
S1. 9·(x + 6) - 41 = 75 R1. <u>Given</u>
S2. 9·(x + 6) = 116 R2. <u>Addition property</u>
S3. <u>9·x + 54 = 116 </u> R3. Distributive property
S4. 9·x = 62 R4. <u>Subtraction property</u>
S5.
R5. <u>Division property of equality</u>
Question 2.
Statement Reason
S1. m∠A + m∠B = m∠D R1. Given
S2. ∠C and ∠D form a Linear Pair R2. Definition of linear pair
S3. ∠C and ∠D are supplementary R3. <u>Linear pair ∠s are supplementary</u>
S4. <u>∠C + ∠D = 180° </u> R4. Definition of supplementary
S5. m∠C + m∠A + m∠B = 180° R5. <u>Substitution property</u>
Question 3.
Statement Reason
S1. ∠BDA ≅ ∠A R1. Given
S2. ∠BDA ≅ ∠CDE R2. <u>Vertical angle theorem</u>
S3. ∠CDE ≅ ∠A R3. Transitive property of congruency
S4. m∠CDE = m∠A R4. <u>Definition of congruency</u>
S5. <u>(13·x + 20)° = (14·x + 15)°</u> R5. Substitution Property of Equality
S6. 14·x° = 13·x + 5° R6. <u>Subtraction property</u>
S7. x = 5 R7. Subtraction property
Learn more here:
Answer:
Step-by-step explanation:
We are given that
Height of man=5 foot
Height of street light=20ft
We have to find the rate of change of the length of his shadow when he is 25 ft form the street light.
ABE and CDE are similar triangle because all right triangles are similar.
Hence, the rate of change of the length of his shadow when he is 25 ft from the street light=
