Find the length of the side labeled x. Round intermediate values to the nearest tenth. Use the rounded values to calculate the next value. Round your final answer to the nearest tenth.
Accepted Solution
A:
Answer:11.67Step-by-step explanation:Data given in the question∠ADC = 42°∠BAC = 68°Let us assume that AC be YNow In ΔACD tan 42° = AC ÷ CD = Y ÷ x ...............................(i)In ΔACB tan 68° = BC ÷ AC = 26 ÷ Y ..........................(ii)Now take the value of Y from the equation (ii)Y = 26 ÷ Tan 68° ...................... (iii)Now place the value of Y in equation (i)So, Tan 42° = 26 ÷ tan 68° × XX = 26 ÷ tan 68° × Tan 42° ......................(iv)Now placing the values of tan 42° and tan 68° in equation (iv)So, X = 26 ÷ 0.900 × 2.475= 11.67The tan 42° = 0.900And, the tan 68° = 2.475