Solve, using SohCahToa, right angle triangle ABC for the hypotenuse, where adjecent=10cm & theta=40 degrees.

First draw the triangle for visual representation, it can often clear the problem in your head if its too difficult to visualise. Then write sohcahtoa and decide which function to use by highlight the values given and required by the problem, in this case h a & theta. With h & a it is clear the cos(theta) function is required to solve.With cos(theta) = a/h the problem can be solved by multiplying by h and dividing by cos(theta), therefore h = a/cos(theta).From this we can input values and find h. h= 7.66cm. Remember units and check for radians or degrees as stated in the question!

AC
Answered by Alexander C. Maths tutor

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