Explanation The sketch of the solid rectangular block is shown below. Figure-(1) The side D C is the common side of the triangle Δ A D C , Δ B D C and Δ C D E . The angle ∠ A of the triangle Δ A D C is 27 ° 0 0 ′ , the angle ∠ B of the triangle Δ B D C is 39 ° 0 0 ′ , the tilt angle of the triangle Δ C D E is ∠ T . Consider the length of common side D C is 1 unit . Write the expression for the angle ∠ B using the triangle Δ B D C . tan ∠ B = D C D B ...... (I) Here, the length of the common side D C is D C and the length of the side D B is D B . Write the expression of the angle ∠ A using the triangle Δ A D C . tan ∠ A = D C A D ........ (II) Here, the length of the side A D is A D . Write the expression of the angle ∠ D A B of the right angle triangle Δ D A B . tan ( ∠ D A B ) = D B A D ......... (III) Write the expression of the rotation angle. ∠ R = 90 ° − ∠ D A B ........ (IV) Calculation: Substitute 39 ° 0 0 ′ for ∠ B and 1 unit for D C in Equation (I). tan 39 ° 0 0 ′ = ( 1 unit ) D B D B = ( 1 unit ) tan 39 ° 0 0 ′ D B = 1 To determine (b) The angle of tilt ∠ T .

(a) The angle of rotation ∠ R .

Mathematics For Machine Technology

8th Edition

ISBN: 9781337798310

Author: Peterson, John.

Publisher: Cengage Learning,

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Question

Chapter 77, Problem 8A

To determine

(a)

The angle of rotation ∠R.

To determine

(b)

The angle of tilt ∠T.

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