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Lady bird [3.3K]
2 years ago
10

Pls help if you actually can

Mathematics
1 answer:
Setler79 [48]2 years ago
5 0

The triangles that are similar would be ΔGCB and ΔPEB  due to Angle, Angle, Angle similarity theorem.

<h3>How to identify similar triangles?</h3>

From the image attached, we see that we are given the Parallelogram GRPC. Thus;

A.  The triangles that are similar would be ΔGCB and ΔPEB  due to Angle, Angle, Angle similarity theorem.

B. The proof of the fact that ΔGCB and ΔPEB are similar pairs of triangles is as follow;

∠CGB ≅ ∠PEB  (Alternate Interior Angles)

∠BPE ≅ ∠BCG  (Alternate Interior Angles)

∠GBC ≅ ∠EBP  (Vertical Angles)

C.  To find the distance from B to E and from P to E, we will first find PE and then BE by proportion;

225/325 = PE/375  

PE = 260 ft

BE/425 = 225/325  

BE = 294 ft

Read more about Similar Triangles at; brainly.com/question/14285697

#SPJ1

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The angle of elevation from the end of the shadow to the top of the man's head will be 34.077°.

<h3>What is a right-angle triangle?</h3>

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function. The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

A man who is 5feet 9inches tall casts a shadow of 8feet 6inches.

Assuming that the man is perpendicular to the ground.

5 ft 9 in = 69 in

8 ft 6 in = 102 in

Then the angle of elevation from the end of the shadow to the top of the man's head will be

tan θ = 69/102

θ = tan ⁻¹ (0.676)

θ = 34.077°.

More about the right-angle triangle link is given below.

brainly.com/question/3770177

#SPJ1

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